Algebra – 4.4 Slope of a Line

Algebra – 4.4 Slope of a Line

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Algebra – 4.4 Slope of a Line

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1. Algebra – 4.4 Slope of a Line Objectives: -Find the slope of a line using two of its points -Interpret slope as a constant rate of change Factoid: A dragonfly has a life span of 24 hours. Warm Up: Solve for y and graph 5y - 2x = -15 What is the slope?

2. Solve for y in terms of x • Solve for y in terms of x. • Graph. • Find the slope • y - 2x = 3 • 3x - 6y = 9 • 2y -4 = -6x

3. Solve for y y - 2x = 3 y = 2x + 3 Graph What is the slope? 2 What is the y-intercept? 3

4. What is the slope? 1/2 What is the y-intercept? -3/2 Solve for y 3x - 6y = 9 -6y = -3x + 9 Graph

5. What is the slope? 2 What is the y-intercept? -2 y = 2x -2 Graph y = 2x - 2 Slope y-intercept

6. Slope-Intercept Form Any linear equation can be written in slope intercept form. y = mx + b m = slope b = y-intercept

7. Example y + 3x = 2 y = -3x + 2 m = -3 b = 2

8. Slope Formula M = y2 – y1 x2 – x 1