Question

An illustration of a coordinate plane with four quadrants shows the x and y axes extending from negative 5 to 5 in increments of 1. An upward slanting line is plotted on the coordinate plane. The upward slanting line with arrows at both ends passes through the following closed points: (-1.5, -3), (0, 0), and (0.5, 1).
Determine the initial value and the rate of change of the linear function as given in the graph.
A. The initial value is 0, and the rate of change is 1/2.
B. The initial value is −6, and the rate of change is 2.
C. The initial value is 0, and the rate of change is 2.
D. The initial value is 2, and the rate of change is 2.

Answer 1

C. The y-intercept is (0,0) so initial value = 0. Slope = (1 − 0)/(0.5 − 0) = 1/0.5 = 2 (also (0 − (−3))/(0 − (−1.5)) = 3/1.5 = 2).