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

Answer:

C) the function represented by the graph has a steeper slope and the function represented by the equation has a larger y-intercept.

Step-by-step explanation:

The equation is written in slope-intercept form, y=mx+b.  m is the slope and b is the y-intercept.  In this function, the slope is 2 and the y-intercept is 2.

Looking at the graph, the y-intercept is 1.  Going from the y-intercept, if we go up 2, it does not go over quite 1 unit.  Therefore the slope is steeper on the graph.

Hope I helped answer the question:)