Use the image to answer the 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. A downward slanting line is plotted on the coordinate plane. The downward slanting line with arrows on both ends passes through the following closed points: left parenthesis negative 3 comma 2.5 right parenthesis, left parenthesis 0 comma 1 right parenthesis, and left parenthesis 2 comma 0 right parenthesis.

Determine the initial value and the rate of change of the linear function as given in the graph.

(1 point)
The initial value is
, and the rate of chan

1 answer

ge is -0.5.

The downward slanting line passes through the point (-3, 2.5) on the y-axis, therefore the initial value is y = 2.5.

The line passes through points (0, 1) and (2, 0) on the x-axis. The rate of change m can be calculated using the formula:

m = (y2 - y1) / (x2 - x1)
m = (0 - 1) / (2 - 0)
m = -1 / 2
m = -0.5

Therefore, the initial value is 2.5 and the rate of change is -0.5.