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WRITING LINEAR EQUATIONS FINDING THE SLOPE OF A LINE.

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Presentation on theme: "WRITING LINEAR EQUATIONS FINDING THE SLOPE OF A LINE."— Presentation transcript:

1 WRITING LINEAR EQUATIONS FINDING THE SLOPE OF A LINE

2 Warm-up: 15 minutes y=12 y=-5y=5 3 2 1 4 -3 3 5 10.) -5 + (- 9) 12.) -1 - (-9)13.) 8 + (-23) 14.) -22 - 915.) 8 - (-2)16.) -21 - (-9) -14 8-15 -3110-12

3 Rate of Change

4 Example ● ● (4, 3) (-1, 1) RISE: 2 units run: 5 units Find the slope of the line passing through: (- 1,1)(4,3) Slope = rise run Slope = 2 5

5 Your Turn ● ● (3, 4) (-1, -2) RISE: 6 units run: 4 units Find the slope of the line passing through: (-1,- 2)(3,4) Slope = rise run Slope = 6 4

6 Example Find the slope of the line passing through: A(-2,1) B(6,7) A(-2, 1) B(6, 7) x1x1 x2x2 y2y2 y1y1 Slope = y 2 - y 1 x 2 - x 1 Slope = 7 - 1 6 -(-2) Slope = 6 8 3 4

7 Your Turn! Find the slope of the line passing through: A(2,- 5)B(7,12) A(2, -5) B(7, 12) x1x1 x2x2 y2y2 y1y1 Slope = y 2 - y 1 x 2 - x 1 Slope = 12 - (-5) 7 - 2 Slope = 17 5

8 Practice: find the slope of the following: 1. (0, 7)(0,5) 2. (10, 3)(2,5) 3. (12, 9)(6,7) 4. (10, 1)(4,9) 5. (-8, 5)(6,-3) Slope = undefined Slope = -2/8 or -1/4 Slope = 2/6 or 1/3 Slope = -8/6 Slope = -8/14 or -4/7


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