use the graph to answer the question: (0, 0), (2, 3).
determine the initial value and the rate of change of the linear function given in the graph
the initial value is ____, and the rate of change is _____
To determine the initial value and rate of change of the linear function given in the graph, we need to calculate the slope of the line passing through the points (0, 0) and (2, 3).
Slope = (y2 - y1) / (x2 - x1)
Slope = (3 - 0) / (2 - 0)
Slope = 3 / 2
Slope = 1.5
The rate of change is 1.5.
Next, we can use the point-slope form of a linear equation to find the initial value:
y - y1 = m(x - x1)
Using the point (0, 0) and the slope 1.5:
y - 0 = 1.5(x - 0)
y = 1.5x
Therefore, the initial value is 0 and the rate of change is 1.5.