Question

Find the slope of the line graphed in the diagram and choose the correct answer from the choices below. The two intercepts are (0,2) and (.8,0)

2/5

5/2

-2/5

-5/2

Answer 1

The correct slope is -5/2.

The formula for slope is

m = (y₂-y₁)/(x₂-x₁)

The y-coordinate of the second point is 0, and the y-coordinate of the first point is 2.  The x-coordinate of the second point is 0.8 and the x-coordinate of the first point is 0:

m = (0-2)/(0.8-0) = -2/0.8 = -2 ÷ 8/10 = -2 × 10/8 = -2/1 × 10/8 = -20/8 = -5/2