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Warm-Up

5 minutes. Warm-Up. Graph. Then find the slope. y = 3x + 2. 2) y = -2x +5. 5.3 Equations and Slope. Objectives: To find the slope and y-intercept of a line from an equation. Slope-Intercept Equation. Find the slope of the line y = 2x - 4. 8. y = 2x - 4. 6. 4. 2. 0. -4. 6. 8.

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Warm-Up

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

  2. 5.3Equations and Slope Objectives: To find the slope and y-intercept of a line from an equation

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

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

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

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

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

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

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

  10. Homework p.332: 5 – 23 odd

  11. 4 minutes Warm-Up Find the slope and y-intercept. • y = 3x + 4 2) y = -2x - 8 3) 2x + 7y = 9 4) 4x = 9y + 7

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

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

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

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

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

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

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

  19. Homework *Use graph paper for the graphs

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