Question

(0.5,1) (0,0) (-1.5,-3)
Determine the initial value and the rate of change of the linear function as given in the graph.
(1 point

Answer 1

The initial value of the linear function is the y-intercept, which is the point where the graph intersects the y-axis. In this case, the initial value is the y-coordinate of the point where the graph intersects the y-axis, which is 1.

The rate of change of the linear function is the slope of the graph. To calculate the slope, we can use the formula:

slope = (change in y) / (change in x)

Using the points (0.5,1) and (-1.5,-3), we can calculate the slope as:

slope = (-3 - 1) / (-1.5 - 0.5) = -4 / -2 = 2

Therefore, the rate of change of the linear function is 2.