Rachel drew the two graphs below. Rachel says that graph S has a steeper slope than graph R. Is Rachel correct or incorrect? Why?

Question

(1 point)
Responses

Rachel is correct; Graph S has a slope of 2 and Graph R has a slope of 0.5.
Rachel is correct; Graph S has a slope of 2 and Graph R has a slope of 0.5.

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

Rachel is correct; Graph S is non-proportional.
Rachel is correct; Graph S is non-proportional.

Rachel is not correct; both graphs go through the origin and have the same slope.
Rachel is not correct; both graphs go through the origin and have the same slope.

Answer 1

Based on the information provided, Rachel's statement about the slopes of the graphs can be evaluated. If Graph S has a slope of 2 and Graph R has a slope of 0.5, that would mean:

• Slope of Graph S = 2 (steeper)
• Slope of Graph R = 0.5 (less steep)

Thus, in this case, Rachel is correct; Graph S does indeed have a steeper slope than Graph R.

If Graph R had a slope greater than 2 or even equal to 2, then Rachel's assertion would be incorrect.

Given the question, the correct answer is:

Rachel is correct; Graph S has a slope of 2 and Graph R has a slope of 0.5.