1. Lesson 5.3- Slope Intercept Form, pg. 272
Goals: To write and graph linear equations in slope-intercept form.
To model real-world data with an equation in slope-intercept form.

2. Slope-Intercept Form
The linear equation y = mx + b is written in slope-intercept form, where m is the slope and b is the y-intercept.
Y = mx + b
slope
Y-intercept

3. Ex. 1: Write an equation given slope and y-intercept

4. slope: 0.5
y-intercept: 7.5
slope: 8
y-intercept: -3
slope: 4
y-intercept: -2
slope: -1
y-intercept: -7

5. Ex. 2: Write an equation of the line shown in each graph.1. y x 5 -5

6. 2. y x 5 -5

7. 3. y x 5 -5

8. Ex. 3: Graph the equation.
1. y = x - 2 y x 5 -5

9. 2. y = -x + 2 y x 5 -5

10. 3. y = -1/3x - 3 y x 5 -5

11. 4. 2x – y = -3 y x 5 -5

12. 5. 4x – 3y = 3 y x 5 -5

13. Ex. 3: Write a linear equation in slope-intercept form to model the situation.
An auto repair shop charges $50 plus $25 per hour.
Y = mx + b

14. 2. The temperature is 15° and is expected to fall 2° each hour during the night.
Y = mx + b

15. A computer technician charges $75 for a consultation plus $35 per hour.
Y = mx + b