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Warm-Up Graph. Then find the slope. 5 minutes 1)y = 3x + 2 2) y = -2x +5

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7.5.1 Equations and Slope 7.5.1 Equations and Slope Objectives: To find the slope and y-intercept of a line from an equation

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Finding Slope from an Equation Find the slope of the line y = 3x +1. y = 3x + 1 xy 1 4 7 0 1 2 -8-6-4 -2 2 42 68 4 6 -4 -6 -8 -2 8 rise: -6 run: -2

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Find the slope of the line y = -3x + 7. Example 1 The slope is -3.

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Practice 1)y = 3x + 9 2) y = -2x – 7 3) y = 8 - 3x Find the slope of each line.

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Find the slope of the line 3x + 5y = 7. Example 2 Solve for y3x + 5y = 7 -3x 5y = 7 – 3x 55 The slope is.

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Practice 1)4x + 5y = 7 2) 3x + 8y = 9 3) 5x – 4y = 8 Find the slope of each line.

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Find the slope of the line y = 2x - 4. Slope-Intercept Equation y = 2x - 4 xy -4 -2 0 0 1 2 -8-6-4 -2 2 42 68 4 6 -4 -6 -8 -2 8 rise: -4 run: -2 The y-intercept is -4.

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y = mx + b Slope-Intercept Equation slopey-intercept y = 4x + 8 slopey-intercept= 4= 8 y = 2x - 3 slopey-intercept= 2= -3

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Find the slope and y-intercept of the line y = -4x + 4. Example 1 The slope is -4. The y-intercept is 4.

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Find the slope and y-intercept of the line y = 5x - 7. Example 2 The slope is 5. The y-intercept is -7.

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Practice 1)y = x + 3 2) y = -4x – 7 3) y = 3x - 9 Find the slope and y-intercept of each line.

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Find the slope and y-intercept of the line 3x + 4y = 12. Example 3 3x + 4y = 12solve for y -3x 4y = 12 – 3x 44 slopey-intercept= 3

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Practice 1)y = -x - 3 Find the slope and y-intercept of each line. 2) 8x + 2y = 10 3) 3y – 6x = 12

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Homework p.326 #1-10,19-27 odds

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7.5.2 Equations and Slope 7.5.2 Equations and Slope Objectives: To graph lines using the slope-intercept equation

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Graph y = 3x + 2. Example 1 -8-6-4 -2 2 42 68 4 6 -4 -6 -8 -2 8 What is the y- intercept? What is the slope of this line? b = 2

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Graph Example 2 -8-6-4 -2 2 42 68 4 6 -4 -6 -8 -2 8 What is the y- intercept? What is the slope of this line? b = -3

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Practice 1)y = 3x - 5 Graph each line. 2) y = -2x + 4 3)

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Graph 3x + 4y = 12. Example 3 3x + 4y = 12solve for y -3x 4y = -3x + 12 44

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Graph 3x + 4y = 12. Example 3 slope y-intercept -8-6-4 -2 2 42 68 4 6 -4 -6 -8 -2 8

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Practice 1)7x + 2y = 4 Graph each line. 2) 5y – 10 = 4x

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