1. 7.5 Equations and Slope Objective goal:
1.) Day 1-To find slope and y-inercept of a line from an equation
2.)Day 2- To graph lines using the slope-intercept equation

2. Solve for y
Steps to get y all by itself: 1.) If there is an x being added or subtracted by “y”, do the opposite operation to both sides (add or subtract it) 2.)If there is a coefficient (or a number multiplied by y) divide everything by that number

3. Examples:
1.) 3x+2y=6
2.) x+4y=8

4. Examples
3.) 4x-3y=-12
4.) -2x –y =4

5. Slope-intercept equation y = mx + b
y-intercept

6. To find the slope (m) and y-intercept of an equation:
Write the equation in the y-intercept form
Solve for “y”
y = mx + b
“m” is the slope
“b” is the y-intercept

7. Ex 5: Find the slope and y-intercept of y = -5x + 6

8. Ex 6: Find the slope and y-intercept of 2y = 7x - 4

9. Ex 7: Find the slope and y-intercept of 2x + 3y = 6
3y = - 2x + 6 3 3 3

10. Ex 8:the slope and y-intercept of -7x - 5y = 25
-5y = 7x + 25 -5 -5 -5

11. Homework
Page 326 (2-26) even

12. Day 2 ~ Graphing Using Slope Intercept Form

13. Steps To Graph Using y=mx+b Slope Intercept From:
1.) Solve for y so your equation is in y=mx+b format
2.) Plot your b (y-intercept) on the y-axis
3.) From your y intercept use your slope to go up and over depending on the rise over run of your slope and plot your 2nd point.(If your slope is – you go down and to the right, if it is + you go up and to the right)
4.) Now that you have 2 points draw your line

14. Ex 1: Graph using Slope Intercept:

15. Ex 2: Graph Using Slope Intercept:

16. Ex 3: Graph Using Slope Intercept

17. Assignment Page 326 (29-45) odd on graph paper Check your answers in the back of the book with a red pen