Question

Find the slope of the line.

A. 3/2

B. -2/3

C. 4/3

D. -3/4

Answer 1

Explanation:

Use 2 points from the line: (-2, 2) and (6, -4)

slope = y2 -y1 = -4 - 2 = -6 = - 3

x2 - x1 6 - -2 8 4

The slope is choice D -3/4

Answer 2

-3/4, answer D

Explanation:

Slope = rise/run. The equation is (y2-y1)/(x2-x1).

So let's pick 2 points. There are pink dots on (-2,2) and (6,-4), so we'll use those points.

slope = (2-(-4))/(-2-6)

slope = (2+4)/(-2-6)

slope = (6)/-8, which we can simplify by dividing the numerator and denominator each by 2.

slope = -3/4

Just as a quick check, this makes sense because as x increases, y decreases so we should expect the slope to be negative.