Function f is represented by a line that has a slope of 3 and a y-intercept of –2. The coordinates in the table below represent points on a linear function g.

The table showing x-values as -2, -1, 0, 1, and 2 and the corresponding y-values as -6, -4, -2, 0, and 2.

Which statement is correct?

A.
The rate of change for function f is the same as the rate of change for function g, and the graphs of the lines for both functions pass through different y‑intercepts.

B.
The rate of change for function f is less than the rate of change for function g, and the graphs of the lines for both functions pass through the same y-intercept.

C.
The rate of change for function f is greater than the rate of change for function g, and the graphs of the lines for both functions pass through the same y-intercept.

D.
The rate of change for function f is the same as the rate of change for function g, and the graphs of the lines for both functions pass through the same y-intercept.