Question

Consider the linear function that is represented by the equation y = 2 x + 2 and the linear function that is represented by the graph below.

Which statement is correct regarding their slopes and y-intercepts?
A. The function that is represented by the equation has a steeper slope and a greater y-intercept.
B. The function that is represented by the equation has a steeper slope, and the function that is represented by the graph has a greater y-intercept.
C. The function that is represented by the graph has a steeper slope, and the function that is represented by the equation has a greater y-intercept.
D. The function that is represented by the graph has a steeper slope and a greater y-intercept.

Answer 1

A

Explanation:

Answer 2

• C. The function that is represented by the graph has a steeper slope, and the function that is represented by the equation has a greater y-intercept.

Explanation:

Given function

• y = 2x + 2

And a graph. We can see it is

• y = 2.5x + 1

A. The function that is represented by the equation has a steeper slope and a greater y-intercept.

• False

B. The function that is represented by the equation has a steeper slope, and the function that is represented by the graph has a greater y-intercept.

• False

C. The function that is represented by the graph has a steeper slope, and the function that is represented by the equation has a greater y-intercept.

• True

D. The function that is represented by the graph has a steeper slope and a greater y-intercept.

• False