The initial value of the linear function is the y-intercept, which is the point where the line crosses the y-axis. In this case, the line passes through the point (0,0), so the initial value is 0.
To calculate the rate of change (slope) of the linear function, we use the formula:
slope = (change in y) / (change in x)
We can use the two points (0,0) and (2,3) to calculate the slope:
(3 - 0) / (2 - 0) = 3/2
Therefore, the rate of change of the linear function is 3/2.
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 answer