What is the slope of the line passing through the following points: (-2,8) , (-1,4)(−2,8),(−1,4)?

1 Answer
Meave60
Dec 20, 2015

m=-4m=−4

Explanation:

Use the equation m=(y_2-y_1)/(x_2-x_1)m=y2−y1x2−x1, where mm is the slope, and one point is (x_1,y_1)(x1,y1) and the other point is (x_2,y_2)(x2,y2). (It doesn't matter which point is which as long as you are consistent.

Let Point 1==(-2,8)(−2,8).
Let Point 2==(-1,4)(−1,4).

Substitute the xx and yy values into the equation.

m=(y_2-y_1)/(x_2-x_1)m=y2−y1x2−x1

m=(4-8)/(-1-(-2)m=4−8−1−(−2)

Simplify.

m=(-4)/(-1-(-2)m=−4−1−(−2)

Simplify.

m=(-4)/(-1+2)m=−4−1+2

Simplify.

m=(-4)/1m=−41

Simplify.

m=-4m=−4

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