Answer
a. The rate of change of is -5.
b. The graph of f is a line with slope -5 and y-intercept (0,7).
Work Step by Step
f(x) = -5x + 7 is the given function.
a. The slope (a), which = -5 is the same as the rate of change so the rate of change of the function is -5.
b. As mentioned in part a, the slope is -5. The y-intercept is the b value which, for this function if 7. So the y-intercept (which occurs when x=0) is (0,7).