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 transcript:

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

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”

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

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

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

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

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

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

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

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

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