The initial value of the linear function can be determined by finding the y-intercept, which is the point where the line crosses the y-axis. In this case, the y-intercept is the point (0, 1). Therefore, the initial value is 1.
The rate of change, or slope, of the linear function can be determined by finding the change in y divided by the change in x between two points on the line. Let's use the points (0, 1) and (2, 0) to calculate the rate of change:
Change in y = 0 - 1 = -1
Change in x = 2 - 0 = 2
Rate of change = Change in y / Change in x = -1 / 2 = -0.5
Therefore, the rate of change of the linear function is -0.5.
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 answer