Question

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

On the graph is a line with the points (0,0) and (2,3)

Answer 1

To determine the initial value (y-intercept) of the linear function, we can simply look at the graph and see that the line passes through the point (0,0). This means that the initial value is 0.

To determine the rate of change (slope) of the linear function, we can use the formula:

slope = (change in y) / (change in x)

Given the points (0,0) and (2,3), we can calculate the slope:

slope = (3 - 0) / (2 - 0)
slope = 3 / 2
slope = 1.5

Therefore, the initial value of the linear function is 0 and the rate of change is 1.5. This means that the linear function can be represented as y = 1.5x.