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Slope - a number that describes the steepness & direction of a line Find the slope of the line y = x - 1 x y 0 1 2 3 0 1 2.

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Presentation on theme: "Slope - a number that describes the steepness & direction of a line Find the slope of the line y = x - 1 x y 0 1 2 3 0 1 2."— Presentation transcript:

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2 Slope - a number that describes the steepness & direction of a line Find the slope of the line y = x - 1 x y 0 1 2 3 0 1 2

3 Formula for Finding Slope: Given 2 points (x 1, y 1 ) and (x 2, y 2 ): m = y 2 - y 1 x 2 - x 1 Slope is represented by the letter “m”

4 m = y 2 - y 1 x 2 - x 1 Choose any two points on the line: (3,2) and (1,0 ) x1x1 y1y1 x2x2 y2y2 m = = -2 = 1 Find the slope of the line y = x - 1 0 2 1 3 - -

5 So, the slope of the line y = x – 1 is 1

6 Slope - a number that describes the steepness & direction of a line Find the slope of the line y = -2x - 2 x y -2 0 1 2 0 -2 -4

7 m = y 2 - y 1 x 2 - x 1 Choose any two points on the line: (-2,2) and (-1,0 ) x1x1 y1y1 x2x2 y2y2 m = = -2 1 = -2 Find the slope of the line y = -2x - 2 0 2 -2 - -

8 So, the slope of the line y = -2x – 2 is -2

9 Slope - a number that describes the steepness & direction of a line Find the slope of the line y = 4x x y 0 1 -4 0 4

10 m = y 2 - y 1 x 2 - x 1 Choose any two points on the line: (-1,-4) and (0,0 ) x1x1 y1y1 x2x2 y2y2 m = = 4 1 = 4 Find the slope of the line y = 4x 0 -4 0 - -

11 So the slope of the line y = 4x is 4

12 y = 4x y = -2x – 2 y = x - 1 (slope=1) (slope=4) (slope = -2)


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