Download presentation

Presentation is loading. Please wait.

Published byBrandon Daugherty Modified over 4 years ago

1
M. Pickens 2006 Slope Intercept form and Solving for y

2
M. Pickens 2006 Objectives To learn what slope intercept form is To practice identifying slope and y-intercept when in slope-intercept form To practice solving equations for y to put in slope intercept form.

3
M. Pickens 2006 What is Slope Intercept Form? Slope-Intercept Form is a way to write the equation of a line. Slope Intercept form is : m is the slope b is the y-intercept

4
M. Pickens 2006 Identify the Slope and Y-intercept y = 2x + 5 SlopeSlope = 2Y-intercept Y-intercept = 5 Slope =Y-intercept =-2

5
M. Pickens 2006 Identify the Slope and Y-intercept SlopeY-intercept Slope = Y-intercept = Slope = Y-intercept =0 + 0 Slope = Y-intercept =-9

6
M. Pickens 2006 Solving for Y Often an equation is not in slope-intercept form. To get it in slope intercept form solve for y first. Example: 4x + 2y = 9 We are trying to get the y by itself. First we can move the 4x by subtracting 4x from both sides -4x We cant combine the 9 and -4x because they are not like terms 2y = 9 – 4x Now we can cancel out the *2 by dividing both sides by 2. To do this we will have to divide each piece by 2 2 2 2 y = 4.5 – 2x Now put in slope-intercept form y = -2x + 4.5

7
M. Pickens 2006 Solving for Y Put in slope-intercept form then give the slope and y-intercept 3y + 2 = 3x - 5 We are trying to get the y by itself. First we can move the 2 by subtracting 2 from both sides -2 3y = 3x - 7 Now we can cancel out the *3 by dividing both sides by 3. To do this we will have to divide each piece by 3 3 3 3 y = 1x – 7/3 or y = 1x – 2.3 Slope = 1 Y- int =-7/3 or -2.3

8
M. Pickens 2006 Examples 3x + 4y = 8 We are trying to get the y by itself. First we can move the 3x by subtracting 3x from both sides -3x 4y = We cant combine the 8 and -3x as they are not like terms -3x + 8 Now we can cancel out the *4 by dividing both sides by 4. To do this we will have to divide each piece by 4 4 4 4 y =-3/4 x +2 Now it is in slope intercept form. What are the slope and y-intercept? Slope = -3/4 Y- int =2

9
M. Pickens 2006 Examples 2y – 5x = -4 We are trying to get the y by itself. First we can move the -5x by adding 5x to each side of the equals +5x +5x 2y = We cant combine the -4 and 5x as they are not like terms 5x – 4 Now we can cancel out the *2 by dividing both sides by 2. To do this we will have to divide each piece by 2 2 2 2 y =5/2 x – 2 Now it is in slope intercept form. What are the slope and y-intercept? Slope = 5/2 or 2.5 Y- int =-2 Or y = 2.5x – 2

10
M. Pickens 2006 Examples -1x + 2y = 6 We are trying to get the y by itself. First we can move the -1x by adding 1x to each side of the equals +1x +1x 2y = We cant combine the 6 and 1x as they are not like terms 1x + 6 Now we can cancel out the *2 by dividing both sides by 2. To do this we will have to divide each piece by 2 2 2 2 y =1/2 x + 3 Now it is in slope intercept form. What are the slope and y-intercept? Slope = 1/2 or 0.5 Y- int =3 Or y = 0.5x + 3 -x + 2y = 6

11
M. Pickens 2006 Examples 2y + -4x = 2x +7 We are trying to get the y by itself. First we can move the -4x by adding 4x to each side of the equals +4x 2y = 6x +7 Now we can cancel out the *2 by dividing both sides by 2. To do this we will have to divide each piece by 2 2 2 2 y = 3x + 7/2 or y = 3x + 3.5 Slope = 3 Y- int =7/2 or 3.5

12
M. Pickens 2006 Conclusion The equation for slope-intercept form is: M = ________________ B = ________________ To get an equation in slope intercept form, first _______________ slope y-intercept solve for y

Similar presentations

OK

Solving 2-Step Variable Equations What??? I just learned 1-step! Relax. You’ll use what you already know to solve 2-step equations.

Solving 2-Step Variable Equations What??? I just learned 1-step! Relax. You’ll use what you already know to solve 2-step equations.

© 2018 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google