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**Writing the Equation of a Line**

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**Review of Slope-Intercept Form**

The slope-intercept form of a linear equation is y = mx + b. m represents the slope b represents the y-intercept

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**Write the Equation in Slope-Intercept Form**

5. The slope is 2; the y-intercept is 5 6. The slope is -4; the y-intercept is 0 7. The slope is - ; the y-intercept is -3 8. The slope is ; the y-intercept is y = 2x + 5 y = -4x y = - x – 3

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**Find the Equation of the Line Given the Slope and y-intercept**

Substitute m and b into y = mx + b m = -3, b = 1 m = -2, b = -4 m = 0, b = 10 m = 1, b = 0 m = 0, b = 0 y = -3x + 1 y = -2x - 4 y = 0x + 10, y = 10 y = 1x + 0, y = x y = 0x + 0, y = 0

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**Slope-intercept form of an equation**

Given the slope and y-intercept, write the equation of a line in slope-intercept form. 1) m = 3, b = -14 2) m = -½, b = 4 3) m = -3, b = -7 4) m = 1/2 , b = 0 5) m = 2, b = 4 Slope-intercept form of an equation Y = mx + b

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Example 1 b = -3 m = y = x - 3 x y +2 +3

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Example 2 b = 1 m = y = x + 1 x y +1 -2

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Example 3 b = 4 m = 0/1= 0 y = 0x + 4, y = 4 x y

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**Write an Equation in Slope-Intercept Form**

10. Write the Equation for this line Slope = m = y-intercept = b 2 = -2 3

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**Write an Equation in Slope-Intercept Form**

11. Write the Equation for this line Slope = m = y-intercept = b 4 5 = 3

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**Write an Equation in Slope-Intercept Form**

12. Write the Equation for this line Slope = m = y-intercept = b = -2 2 = 1 4

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