Question

A line passes through the point (2,-6) and has an initial value of 6. What is the rate of change for this line?

A. -12
B. -6
C. -1/6
D. 6

Answer 1

-6
Just did the question

Answer 2

-6

We assume "initial value" means the y-intercept is (0, 6). The rate of change is the "rise" divided by the "run" between the two points.

rise = -6 -6 = -12 . . . . difference of y-values

run = 2 -0 = 2 . . . . . . difference of corresponding x-values

rate of change = rise/run = -12/2 = -6

The rate of change of this line is -6.