Question

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. An upward slanting line is plotted on the coordinate plane. The upward slanting line with arrows on both ends passes through the following closed points: left parenthesis 0 comma 0 right parenthesis and left parenthesis 2 comma 3 right parenthesis.

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

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

Answer 1

[AI-generated answer — Bot GPT 3.5]

1.

The initial value is (0,0), and the rate of change can be found by calculating the rise over the run. In this case, the rise is 3 (from y=0 to y=3) and the run is 2 (from x=0 to x=2). Therefore, the rate of change is 3/2 or 1. So, the initial value is (0,0) and the rate of change is 1.