Question

Determine the initial value and the rate of change of the linear function as given in the points.
Points: (-3, 2.5), (0, 1), (2, 0)
A. The initial value is 1 and the rate of change is −1/2.
B. The initial value is 1 and the rate of change is 1/2.
C. The initial value is 0 and the rate of change is −1/2
D. The initial value is 0 and the rate of change is 1/2

Answer 1

A.

Slope = (1 − 2.5)/(0 − (−3)) = −1.5/3 = −1/2, and the y‑intercept is y(0)=1, so initial value 1 and rate of change −1/2.