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 change is
The initial value is the y-intercept, which is when x=0. From the graph, the point when x=0 is (0,1), so the initial value is 1.
The rate of change is the slope of the line, which can be calculated using the points (0,1) and (2,0):
slope = (y2 - y1) / (x2 - x1)
slope = (0 - 1) / (2 - 0)
slope = -1 / 2
Therefore, the rate of change is -1/2.