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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.

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Presentation on theme: "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."— Presentation transcript:

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 1. slope: 3 y-intercept: slope: -3/5 y-intercept: 0

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

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

6 2. y x

7 3. y x

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

9 2. y = -x + 2 y x

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

11 4. 2x – y = -3 y x

12 5. 4x – 3y = 3 y x

13 Ex. 3: Write a linear equation in slope- intercept form to model the situation. 1. 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 3. A computer technician charges $75 for a consultation plus $35 per hour. Y = mx + b


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