Question

Rachel drew the two graphs below.

Graph R

On a coordinate plane, a line goes through points (0, 0) and (2, 1).
Graph S

On a coordinate plane, a line goes through points (0, 0) and (1, 2).

Rachel says that Graph R has a greater constant of variation than Graph S. Which statement explains whether Rachel is correct?
Rachel is correct; Graph S is nonproportional.
Rachel is correct; Graph R goes farther along the x-axis.
Rachel is not correct; both graphs go through the origin and have the same constant of variation.
Rachel is not correct; Graph S is steeper than Graph R.

Answer 1

Rachel is not correct; Graph S is steeper than Graph R.

Slope (constant of variation) of R = (1 − 0)/(2 − 0) = 1/2.
Slope of S = (2 − 0)/(1 − 0) = 2.
Since 2 > 1/2, Graph S has the greater constant of variation.