![The y-intercept is the point at which the graph crosses the y-axis. At this point, the x-coordinate is zero. To determine the x-intercept, we set y equal to zero and solve for x. Similarly, to determine the y-intercept, we set x equal to zero and solve for y. For example, lets find the intercepts of the equation [latex]y=3x - 1[/latex]. To …. Prog rock metal](/img/512x512/703136168088.webp)
Let’s take a look at the linear equation y=2 x+1. Since m is represented by the number 2 and b is represented by the number 1. You can state that the slope of this line is 2 and the y -intercept is 1. Graphically, you can see that the ordered pair of the y -intercept is (0, 1) and the slope is represented by 2 units up and 1 unit to the right. To find the y-intercept, find where the line hits the y-axis. To find the x-intercept (which wasn't mentioned in the text), find where the line hits the x-axis. To find the slope, find two points on the line then do y2-y1/x2-x1 the numbers are subscripts. Hope that helped. Feb 10, 2023 · Now write your answer in coordinate form, with the x-value and y-value of the intersection points. If you have two answers, make sure you match the correct x-value to each y-value. Example: When we plugged in =, we got =, so one intersection is at (2, 9). Graph the equation. y = − 2 ( x + 5) 2 + 4. This equation is in vertex form. y = a ( x − h) 2 + k. This form reveals the vertex, ( h, k) , which in our case is ( − 5, 4) . It also reveals whether the parabola opens up or down. Since a = − 2 , the parabola opens downward. This is enough to start sketching the graph.The points of the intecepts are (2,0) and (0,5). to find the equation of the line, you need to put it into slope-intercept form which is y=mx+b, where m is the ...Y-Intercept of a Straight Line. Where a line crosses the y-axis of a graph. Just find the value of y when x equals 0. Example: In the above diagram the line crosses the y axis at … Finding Intercepts From an Equation. X Intercept: where the graph of an equation crosses the x-axis. Y Intercept: where the graph of an equation crosses the y-axis. To find the intercepts: When you want the x intercepts (x,0): Set y=0 then solve for x. When you want the y intercepts (0,y): Every point on the line has x coordinate 1.5, that is why its equation is x = 1.5. Rise and Run. Sometimes the words "rise" and "run" are used. ... that easier to remember. Now Play With The Graph ! You can see the effect of different values of m (the slope) and b (the y intercept) at Explore the Straight Line Graph . Other Forms. We …y + 1 = 2 3 x + 2. Subtract 1 from both sides. y = 2 3x + 2 − 1 =. y = 2 3x + 1. The slope intercept is 1. Answer link. The y-intercept is 1 Step 1. Find the slope … We get the y-intercept by using the equation of a straight line which is; y = mx + b. Where; m is the gradient of the slope; b is the y-intercept. We can use the following formula to calculate the y-intercept. y – a = m ( x – b ) a and b being a point on a line. Example 1: Suppose you have a straight line whose gradient is 3 and a point 2,1 ... f (x) Free y intercept calculator - find function's y-axis intercept step-by-step. AboutTranscript. Learn how to write an equation in slope-intercept form (y=mx+b) for the line with a slope of -3/4 that goes through the point (0,8). We identify the slope (m) and y-intercept (b) to create our equation y = (-3/4)*x + 8. Created by Sal Khan and Monterey Institute for Technology and Education. To write equation of a line in two-point form, simply substitute the coordinates of the given two points in the equation ( y − y 2 ) = y 2 − y 1 x 2 − x 1 ( ...The point-slope form of an equation of a line with slope m and containing the point (x1,y1) is: y −y1 = m(x −x1) We can use the point-slope form of an equation to find an equation of a line when we know the slope and at least one point. Then, we will rewrite the equation in slope-intercept form. Most applications of linear equations use the ...You can use intercepts to graph linear equations. Once you have found the two intercepts, draw a line through them. Let’s do it with the equation 3y+2x= 6 3 y + 2 x = 6. You figured out that the intercepts of the line this equation represents are (0,2) ( 0, 2) and (3,0) ( 3, 0). That’s all you need to know.Answer link. Compare with general formula for slope-intercept form and get that m = 0 and b = 5 The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. Compare: y = mx + b y = 5 Somehow, mx + b = 5. However, x can be any value, making it unpredictable. Therefore, we could try setting m = 0, and get: 0x + b = 5 ...Pre-Algebra. Graph y=2x+2. y = 2x + 2 y = 2 x + 2. Use the slope-intercept form to find the slope and y-intercept. Tap for more steps... Slope: 2 2. y-intercept: (0,2) ( 0, 2) Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values.In reality, you only need 2 of these points. The first step is to find the slope which is (y2-y1)/(x2-x1) and you can use any of these points. Next write the equation is point slope form which is y-y1=m(x-x1) using the slope and one of the points. Then you can simplify to write this is slope-intercept form and solve the x and y intercepts …The slope–intercept form of an equation of a line with slope m and y -intercept, (0, b) is y = mx + b. Let’s practice finding the values of the slope and y -intercept from the equation of a line. Exercise 3.3.13. Identify the slope and y -intercept of the line from the equation: ⓐ y = −47x − 2 ⓑ x + 3y = 9. Answer.In this tutorial, you're given the slope of a line and a point on that line and asked to find the y-intercept. Watch this tutorial and see how the equation for the slope-intercept form of a line is used to figure out the answer! Virtual Nerd's patent-pending tutorial system provides in-context information, hints, and links to …To check your work, you can find another point on the line and make sure it is a solution of the equation. In the graph we see the line goes through \((4, 0)\). ... Graph a Line Using its Slope and \(y\)-Intercept. Find the slope-intercept form of the equation of the line. Identify the slope and \(y\)-intercept. Plot the \(y\)-intercept. ... Y-intercept calculator. Instructions: Use this calculator to find the y-intercept of a line, showing you the process step-by-step. The first thing you need to do is to indicate the line you want to the y-intercept of. You have several options to state the line. You can provide: (1) any linear equation (ex: x + 3y = 2 + \frac {2} {3}x x +3y = 2 ... Its x-intercept lies on the intersection point of the x-axis ( y=0 y = 0) and 2x + 3y -2 = 0 2x+3y −2 = 0. So, we insert y=0 y = 0 in 2x + 3y -2 = 0 2x+ 3y−2 = 0 to obtain: \begin {align*} 2x + 3 \cdot 0 - 2 &= 0\\ …Feb 6, 2024 · You want to get y by itself on one side of the equation, so you need to divide both sides by 2 to get y = 3x - 6; This is slope intercept form, y = 3x - 6. Slope is the coefficient of x so in this case slope = 3; How to Find the y-Intercept. The y-intercept of a line is the value of y when x=0. It is the point where the line crosses the y axis ... In this example, we outline the general steps for graphing a line using slope-intercept form. Step 1: Solve for y to obtain slope-intercept form. − x + 2y = 4 − x + 2y+ x = 4+ x 2y = x + 4 2y 2 = x + 4 2 y = 1x 2 + 4 2 y = 1 2x + 2. Step 2: Identify the y …13 Mar 2015 ... Share your videos with friends, family, and the world.In other words, they have the same slope. If we change 10x +5y = 15 into slope-intercept form, we get y = -2x +3. So the slope is -2, and the slope of the line we must find is also -2. Given the point (3,2), we can use Point-Slope form to write the equation: y-2=-2 (x-3). Written in slope intercept form, this is y = -2x +8, and written in ... f (x) Free y intercept calculator - find function's y-axis intercept step-by-step. 23 Nov 2016 ... If we know the X-Intercept and the Y-Intercept, then we have two points. With two points, we can define the slope of the line and, indeed, ...Therefore it you want to plug in 0 for your x values. y = ax2 + bx + c, has a y-intercept at c. If given a graph: the y-intercept passes through y-axis. Example: If a graph passes the y-axis at -1, then the y-intercept is -1. If you can not see the y-axis, you need to chose two points and create the equation of the parabola in standard or ...Apr 28, 2022 · Best Answer. Say your two points are (-1,-2) and (3,4). Your y intercept is where the line your two points make crosses the y axis. You find this by taking one of your coordinates, (3,4) and you substitute it into the equation y = mx + c. The first number in your coordinate is your x value and the second is your y value. (x,y) Every point on the line has x coordinate 1.5, that is why its equation is x = 1.5. Rise and Run. Sometimes the words "rise" and "run" are used. ... that easier to remember. Now Play With The Graph ! You can see the effect of different values of m (the slope) and b (the y intercept) at Explore the Straight Line Graph . Other Forms. We …David Severin. 7 years ago. All you need is to find the y intercept. With the slope intercept formula, y=mx+b, every point works, so we can plug in point and slope. - 3 = 3 (3)+b. -3 = 9 + b subtract 0 on both sides to find b. -12 = …The slope–intercept form of an equation of a line with slope m and y -intercept, (0, b) is y = mx + b. Let’s practice finding the values of the slope and y -intercept from the equation of a line. Exercise 3.3.13. Identify the slope and y -intercept of the line from the equation: ⓐ y = −47x − 2 ⓑ x + 3y = 9. Answer. The points of the intecepts are (2,0) and (0,5). to find the equation of the line, you need to put it into slope-intercept form which is y=mx+b, where m is the slope and b is the y intercept. to find the slope you do 5-0 where you subtract the second y (5) from the first y (0). you put that over 0-2, where you subtract the first x (2) from the second x (0). your slope should look like this 5/-2. If we are just given two points (x1,y1) ( x 1 , y 1 ) and (x2,y2) ( x 2 , y 2 ) , we must first work out the gradient using the gradient formula above, and then ...9 Sept 2011 ... This video provides an example of how to determine the equation of a line in slope-intercept form given two points on the line.f (x) Free y intercept calculator - find function's y-axis intercept step-by-step.For each equation, you need to find at least two points. Then you draw a line that goes through the points. The easiest way to find the points is to just pick a value for one of the variables (x or y) and then solve for the other variable. For instance, take the equation y = -2x + 4 Let's say x = 0 y = -2x + 4 y = -2(0) + 4 y = 0 + 4 y = 4x = -2 is a vertical line. It contains all points on the xy-plane where the value of x is -2. To graph x ≥ -2, you have to know that ≥ is the greater than or equal to symbol. The equal part means you'll need to use a solid line on the boundary itself (x = -2). The greater than part means you'll need to shade the side of the line that has …Note: To find the x-intercept of a given linear equation, simply remove the 'y' and solve for 'x'. To find the y-intercept, remove the 'x' and solve for 'y'. In this tutorial, you'll see how to find the x-intercept and the y-intercept for a given linear equation. Check it out!To find the y -intercept (s), set x equal to zero, and solve the equation; the y -values of the solutions, if any, say where the graph of the equation crosses or touches the y -axis.Presented By Shizuko Sei, M.D. Air Date Monday, April 26, 2021 Category NCI Cancer Topics @NCIPrevention @NCISymptomMgmt @NCICastle The National Cancer Institute NCI Division of Ca...The slope–intercept form of an equation of a line with slope m and y -intercept, (0, b) is y = mx + b. Let’s practice finding the values of the slope and y -intercept from the equation of a line. Exercise 3.3.13. Identify the slope and y -intercept of the line from the equation: ⓐ y = −47x − 2 ⓑ x + 3y = 9. Answer.You can use the x– and y– intercepts as two of your three points. Find the intercepts, and then find a third point to ensure accuracy. Make sure the points line up—then draw the line. This method is often the quickest way to graph a line. EXAMPLE 4. How to Graph a Line Using Intercepts.To find the equation of line in slope-intercept form when two points (x₁, y₁) and (x₂, y₂) on a line are given, Find the slope using m = (y₂ - y₁) / (x₂ - x₁). Substitute it in the equation y = mx + b. Substitute any one of the given points to be (x, y) …Here we will cover a method for finding the point of intersection for two linear functions. That is, we will find the (x, y) coordinate pair for the point were two lines cross. Our example will use these two functions: f(x) = 2x + 3. g(x) = -0.5x + 7. We will call the first one Line 1, and the second Line 2.Let's explore different ways to find and visualize slopes and intercepts, and how these concepts can help us solve real-world problems. ... Slope from two points Get 3 of 4 questions to level up! Quiz 1. Level up on the above skills and collect up to 480 Mastery points Start quiz. Horizontal & vertical lines. Learn. Slope of a horizontal line In reality, you only need 2 of these points. The first step is to find the slope which is (y2-y1)/(x2-x1) and you can use any of these points. Next write the equation is point slope form which is y-y1=m(x-x1) using the slope and one of the points. Then you can simplify to write this is slope-intercept form and solve the x and y intercepts as given. That's why moving from an x-value of -1 to 0 will move you down by 2/3 (from a y-value 2 to 4/3, because 2 - 2/3 is 4/3. This can also be written as 6/3 - 2/3 = 4/3) Another way to do this is by plugging the slope and a point to the slope-intercept equation (y = mx + b) to solve for the y-intercept. I'll use the point (-1, 2). y = mx + bThe slope of the line is the value of , and the y-intercept is the value of . Slope: y-intercept: Slope: y-intercept: Step 3. Any line can be graphed using two points. Select two values, and plug them into the equation to find the corresponding values. Tap for more steps... Step 3.1. Reorder terms. Step 3.2. Create a table of the and values.Slope intercept form is y=mx+b. Really, it is more like "Rise/Run Slope of a line from the y-intercept form". If you want to know the x-intercept form you can solve the equation for x. y=2x+4 would become x=1/2y-2. Now plug in zero for y and you will have what x is equal to (-2). The reason we use y=mx+b is because the idea of …Feb 10, 2023 · Now write your answer in coordinate form, with the x-value and y-value of the intersection points. If you have two answers, make sure you match the correct x-value to each y-value. Example: When we plugged in =, we got =, so one intersection is at (2, 9). Slope-intercept equation given slope and y-intercept (example) Instead of being given two points, we may need to know how to find slope-intercept form with slope and the y-intercept. In this example, we will use a slope of -4 and a y-intercept of \frac{1}{5}. Remember, the slope is represented by m and the y-intercept is represented …It looks like you need to find the slope and you have 2 points. 1) Label one point as (x1, y1) and the other point as (x2,y2) 2) Then use the slope formula: m = (y2-y1)/ (x2-x1). Take each values from your points and put them into the corresponding variable in the formula. 3) Then, do the math to simplify the fraction.Dec 9, 2019 · Finding the y-intercept of a parabola can be tricky. Although the y-intercept is hidden, it does exist. Use the equation of the function to find the y-intercept. y = 12x 2 + 48x + 49 The y-intercept has two parts: the x-value and the y-value. Note that the x-value is always zero. So, plug in zero for x and solve for y: The explosive device sent to CNN in New York was intercepted in the mailroom. Along with government agencies, US corporations have been on high alert since 9/11. The explosive devi...29 Nov 2023 ... You can rewrite the equation of a line given in standard form as an equation in slope-intercept form by solving for y . This will allow you to ... Y-intercept calculator. Instructions: Use this calculator to find the y-intercept of a line, showing you the process step-by-step. The first thing you need to do is to indicate the line you want to the y-intercept of. You have several options to state the line. You can provide: (1) any linear equation (ex: x + 3y = 2 + \frac {2} {3}x x +3y = 2 ... 28 Feb 2021 ... The slope of the two points will be -2 and the y-intercept is 13. What is an equation of the line? An equation of the line is defined as a ...Border patrol agents intercepted a cargo of meth dropped off by drone near San Diego, but they apparently missed other deliveries using that method in past months. US president Don...In other words, they have the same slope. If we change 10x +5y = 15 into slope-intercept form, we get y = -2x +3. So the slope is -2, and the slope of the line we must find is also -2. Given the point (3,2), we can use Point-Slope form to write the equation: y-2=-2 (x-3). Written in slope intercept form, this is y = -2x +8, and written in ...The x and y-intercept is useful to find the slope, to find the equation of a line, and also to find the area made by the line with the coordinate axes. Grade. KG. 1st. 2nd. 3rd. 4th. 5th. 6th. 7th. 8th. ... as the line cuts the x-axis at the point (-4,0). And the y-intercept is the distance from the origin on the y-axis and it is 6 as the line ...24 May 2023 ... The slope-intercept form of a line is given byy=mx+b where m is the slope and b is the y-intercept of the line. In this article, we will learn ... In reality, you only need 2 of these points. The first step is to find the slope which is (y2-y1)/(x2-x1) and you can use any of these points. Next write the equation is point slope form which is y-y1=m(x-x1) using the slope and one of the points. Then you can simplify to write this is slope-intercept form and solve the x and y intercepts as given. We're asked to determine the intercepts of the graph described by the following linear equation: 3 x + 2 y = 5. To find the y -intercept, let's substitute x = 0 into the equation …Glenn Dobbs, Zeke Bratkowski, Tommy Wade, Ken Stabler, Steve DeBerg and Ty Detmer are tied for the NFL record for the most interceptions thrown in one game. Each quarterback has th...1. Plug the y-coordinates into the slope formula. Make sure you are not using the x-coordinates, and that you are substituting the correct y-coordinates for the first and second points. [5] For example, if the coordinates of your first point are. ( 3 , 2 ) {\displaystyle (3,2)}To begin, let’s determine x and y intercepts using point-slope form. We will begin with an equation: y+2=\frac{1}{2}(x-4) To determine the x-intercept, we must set the value of y equal to zero. Remember, when the line crosses the x-axis, the value of y …1. Plug the y-coordinates into the slope formula. Make sure you are not using the x-coordinates, and that you are substituting the correct y-coordinates for the first and second points. [5] For example, if the coordinates of your first point are. ( 3 , 2 ) {\displaystyle (3,2)}Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/algebra-home/alg-linear-eq-fun...Answer to: How do you calculate slope intercept form from two points? By signing up, you'll get thousands of step-by-step solutions to your...The y-intercept of the line. The angle the line makes with respect to the x-axis (measure anti-clockwise). Slope as a percentage (percentage grade). The distance between the two points. For example, say you have a line that passes through the points (1, 5) and (7, 6). Enter the x and y coordinates of the first point, followed by the x and y ...Given two points on a line, we can write an equation for that line by finding the slope between those points, then solving for the y-intercept in the slope-intercept equation y=mx+b. In this …If we are just given two points (x1,y1) ( x 1 , y 1 ) and (x2,y2) ( x 2 , y 2 ) , we must first work out the gradient using the gradient formula above, and then ...In mathematics, linear refers to an equation or function that is the equation of a straight line and takes the form y = mx + b, where “m” is equal to the slope, and “b” is equal to...If you are given a point-slope form of a line, you can get the slope intercept by following these steps: Write down your point-slope form: y - b = m (x - a) Expand the right-hand side: y - b = mx - ma. Add b to both sides: y = mx - ma + b. This is slope-intercept form! The slope is m, and the intercept is -ma + b.We're asked to determine the intercepts of the graph described by the following linear equation: 3 x + 2 y = 5. To find the y -intercept, let's substitute x = 0 into the equation …16 May 2017 ... Slope-Intercept form is y=mx+b. We want to find the values for "m" and "b". Graph the two points that are in (x,y) form. Then find the slope&nbs...Find the slope intercept form of a line given two points, a function or the intercept step-by-step. slope-intercept-form-calculator. en. Related Symbolab blog posts. High School Math Solutions – Perpendicular & Parallel Lines Calculator.Mar 1, 2015 · To find the y-intercept (b), you need to set x to one of the x values and y to one if the y values and solve: y=mx+b. b=y-mx. The function could look like this: m=getSlope(x1,y1,x2,y2) b=y1-m*x1. return b. The coordinates of the point would be (0,b), so you can return that instead if you want. Share. AboutTranscript. Learn how to write an equation in slope-intercept form (y=mx+b) for the line with a slope of -3/4 that goes through the point (0,8). We identify the slope (m) and y-intercept (b) to create our equation y = (-3/4)*x + 8. Created by Sal Khan and Monterey Institute for Technology and Education. The \ (y\)-intercept is −2 because the line crosses the \ (y\)-axis at (0, −2). So the equation of the line is \ (y = \frac {1} {3}x - 2\). Learn and revise how to plot coordinates and create ... Algebra. Slope and Y-Intercept Calculator. Step 1: Enter the linear equation you want to find the slope and y-intercept for into the editor. The slope and y-intercept calculator takes a linear equation and allows you to calculate the slope and y-intercept for the equation. The equation can be in any form as long as its linear and and you can ... To find the equation of line in slope-intercept form when two points (x₁, y₁) and (x₂, y₂) on a line are given, Find the slope using m = (y₂ - y₁) / (x₂ - x₁). Substitute it in the equation y = mx + b. Substitute any one of the given points to be (x, y) … Finding Intercepts From an Equation. X Intercept: where the graph of an equation crosses the x-axis. Y Intercept: where the graph of an equation crosses the y-axis. To find the intercepts: When you want the x intercepts (x,0): Set y=0 then solve for x. When you want the y intercepts (0,y): In mathematics, linear refers to an equation or function that is the equation of a straight line and takes the form y = mx + b, where “m” is equal to the slope, and “b” is equal to...Answer link. The slope is m=-2/3, and the y- intercept is -1. The x-intercept is at -3/2. This equation is written in slope-intercept form, which is y = mx+b, where m is the slope, and b is the y-intercept. The slope is the constant or number multiplied by the variable, x, which in this case is -2/3. In order to find the intercepts, all you ...Finding y intercept given slope & point (old) Google Classroom. About. Transcript. An old video where Sal finds the y-intercept of the line y=17/13x+b given that the line passes …Let me further explain using my example in 3 straightforward steps: Step 1: You take the ordered pairs (2,9) and (19,10) and take out the y2 and y1 numbers. That would be 10 and 9. Then take out the x2 and x1 numbers. That should be 19 and 2. Step 2: Next, you should minus the y2 and y1 numbers from each other.Concept used: • If Y intercepts then X = 0 [ equation of Y axis is X = 0 ] • The equation of the line joining the two points (X1, Y1) and (X2,&Find the slope intercept form of a line given two points, a function or the intercept step-by-step. slope-intercept-form-calculator. en. Related Symbolab blog posts. High School Math Solutions – Perpendicular & Parallel Lines Calculator.
Using the slope formula, y−y1 x−x1 = y2−y1 x2−x1 y − y 1 x − x 1 = y 2 − y 1 x 2 − x 1. Multiplying both sides by (x - x 1 1 ), y −y1 y − y 1 = y2−y1 …. Watch barbie movies online free
Answer to: How do you calculate slope intercept form from two points? By signing up, you'll get thousands of step-by-step solutions to your...In reality, you only need 2 of these points. The first step is to find the slope which is (y2-y1)/(x2-x1) and you can use any of these points. Next write the equation is point slope form which is y-y1=m(x-x1) using the slope and one of the points. Then you can simplify to write this is slope-intercept form and solve the x and y intercepts …Here's how to find the two x-values for lines that intersect at two points: Example (factoring): We ended up with the equation. ( x − 2 ) ( x + 3 ) = 0 {\displaystyle (x-2) (x+3)=0} If either of the factors in parentheses equal 0, the equation is true. One solution is. x − 2 = 0 {\displaystyle x-2=0} →.Here we will cover a method for finding the point of intersection for two linear functions. That is, we will find the (x, y) coordinate pair for the point were two lines cross. Our example will use these two functions: f(x) = 2x + 3. g(x) = -0.5x + 7. We will call the first one Line 1, and the second Line 2. AboutTranscript. Learn how to write an equation in slope-intercept form (y=mx+b) for the line with a slope of -3/4 that goes through the point (0,8). We identify the slope (m) and y-intercept (b) to create our equation y = (-3/4)*x + 8. Created by Sal Khan and Monterey Institute for Technology and Education. Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/algebra-home/alg-linear-eq-fun...We substituted y = 0 y = 0 to find the x-intercept and x = 0 x = 0 to find the y-intercept, and then found a third point by choosing another value for x x or y y. Equations #5 and #6 are written in slope–intercept form. After identifying the slope and y-intercept from the equation we used them to graph the line. This leads to the following ...On this lesson, you will learn how about finding the equation of a line given two points, finding slope from two points, and finding y-intercept given two po...The x-intercept(s) is(are) a point(s) where the graph intersects the x-axis. If a point lies on the x-axis, its y-coordinate is 0. ... To find: The x-intercept of the function y = x 2 - 7x + 10. Using the formula to find x-intercept, to find the x-intercept, we just substitute y = 0 in the given equation and solve for x.22 Oct 2017 ... Using the point-slope formula to derive the slope intercept form of an equation in two ways: 1) From a single coordinate point and a given ...The midline is a dashed line at y equals five. The highest points on the graph go up to seven on the y axis and the lowest points on the graph go to three on the y axis. A period spans an interval of four units on the x axis. Maximum points are at (one, seven) and (five, seven). A bracket shows the distance between the two maximum points.Given the equation y = m*x + b, where m is the slope and b is the y-intercept, you already have y, m, and x (just plug in X1, Y1), so you can solve for b. – Reinstate Monica -- notmaynard Nov 13, 2013 at 17:18Step 1: Note down the coordinates of the two points lying on the line as (x 1 1, y 1 1) and (x 2 2, y 2 2 ). Step 2: Apply the two point formula given as, y −y1 y − y 1 = y2−y1 x2−x1 (x− x1) y 2 − y 1 x 2 − x 1 ( x − x 1). Step 3: Simplify the obtained equation to the form, y = mx + b to represent the line.2) Plug it into the slope intercept formula: y = mx + b y= 2x + b. 3) Plug the x and y given in the question into the point slope formula y= 2x + b. 4= 2(3) + ...The y y -intercept of a graph is the point where the graph crosses the y y -axis. (Because a function must pass the vertical line test , a function can have at most one y y -intercept . The y y -intercept is often referred to with just the y y -value. For example, we say that the y y -intercept of the line shown in the graph below is 3.5 3.5 .All you have to do is give two points that the line goes through. You need to follow the procedure outlined below. ... x₁) = (3-1)/(2-1) = 2/1 = 2. Calculate the y-intercept. You can also use x₂ and y₂ instead of x₁ and y₁ here. b = y₁ - m × x₁ = 1 - 2×1 = -1. Put all these values together to construct the slope intercept …The slope–intercept form of an equation of a line with slope mm and y -intercept, (0, b) is, y = mx + b. Sometimes the slope–intercept form is called the “ y -form.”. Exercise 6.6.1. Use the graph to find the slope and y -intercept of the line, y = 2x + 1. Compare these values to the equation y = mx + b. Answer..