1. Warm Up
-2(x – 4) = 16
2x – 3 = 7x – 18
5x + 10 = 5(x + 2)

2. Linear Functions

3. slope: rate of change (or the steepness) of a line
y-intercept: the coordinate where the line intercepts the y-axis or a “start value”

4. Find the slope and the y-intercept of each equation.

5. Find slope and y-intercept

6. Convert to slope-intercept form.
To put in Slope-Intercept Form, solve for y.
Ex: 2x + y = 7

7. Convert to slope-intercept form.
2x + 2y = 8

8. Convert to slope-intercept form.
5x - y = -4

10. Graph!

11. Graph!

12. Graph!

13. Where A, B, and C are coefficients, and x and y are our variables.
Standard Form:
Where A, B, and C are coefficients, and x and y are our variables.
(C/B) is our y-intercept
(C/A) is our x-intercept
y-intercept
x-intercept

14. Word Problem: Example 1
Lin is tracking the progress of her plant’s growth. Today the plant is 5 cm high. The plant grows 1.5 cm per day.

15. Word Problem: Example 2
Mr. Thompson is on a diet. He currently weighs 260 pounds. He loses 4 pounds per month.

16. Word Problem: Example 3
The freshman class holds a car wash to raise money they need a total of 1600 dollars. A local merchant donates all the supplies. A wash costs $5 per car and $6.50 per van or truck. Write an equation to model this situation.