Question

A graph with a point 0,0 and two, three determine the initial value and the rate of change of the linear function given in the graph

Answer 1

The initial value can be determined by looking at where the line intersects the y-axis. In this case, the initial value is 0.

Next, we can determine the rate of change by calculating the slope of the line. The slope of a line is given by the change in y-coordinates divided by the change in x-coordinates between any two points on the line. In this case, we can choose two points: (0,0) and (2,3).

The change in y-coordinates is 3 - 0 = 3, and the change in x-coordinates is 2 - 0 = 2. Therefore, the slope of the line is 3/2 = 1.5.

So, the initial value of the linear function is 0 and the rate of change is 1.5. The equation of the linear function can be written as y = 1.5x.