Question

The points (80,20) and (120,30) form a proportional relationship. What is the slope of the line that passes through these points

A. 1/4
B. 4
C. 10
D. 40

Answer 1

`(1)/(4)`

Explanation:

Slope =
`(y_2-y_1)/(x_2-x_1)` where the given points are
`(x_1,y_1)` and
`(x_2,y_2)`

Plug the given points (80,20) and (120,30) into the equation

`(y_2-y_1)/(x_2-x_1)\\= (30-20)/(120-80)\\= (10)/(40)\\= (1)/(4)`

Therefore, the slope of the line that passes through these points is
`(1)/(4)`.

I hope this helps!