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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 in slope-intercept form.

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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

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

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

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**Ex. 2: Write an equation of the line shown in each graph.**

1. y x 5 -5

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2. y x 5 -5

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3. y x 5 -5

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

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

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

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4. 2x – y = -3 y x 5 -5

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5. 4x – 3y = 3 y x 5 -5

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**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

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**2. The temperature is 15° and is expected to fall 2° each hour during the night.**

Y = mx + b

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**A computer technician charges $75 for a consultation plus $35 per hour.**

Y = mx + b

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1 The graph of y = 2x + 3 is shown. You can see that the line’s y -intercept is 3, and the line’s slope m is 2 : m =2 = rise run = 2121 Slope-Intercept.

1 The graph of y = 2x + 3 is shown. You can see that the line’s y -intercept is 3, and the line’s slope m is 2 : m =2 = rise run = 2121 Slope-Intercept.

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