determine the initial value and the rate of change of the linear function given in the graph . the initial value is 0 what is the rate of change

3 answers

Based on the information that the initial value is 0, we can observe that the line starts at the point (0, 0) on the graph. This indicates that the y-intercept of the linear function is 0.

To determine the rate of change of the linear function, we can look at the slope of the line in the graph. The slope is calculated as the change in y divided by the change in x.

In this case, we can take any two points on the line to determine the slope. Let's choose the points (4, 2) and (8, 4) on the graph. The change in y is 4 - 2 = 2, and the change in x is 8 - 4 = 4.

Therefore, the slope or rate of change of the linear function is 2/4 = 1/2.

So, the initial value of the linear function is 0 and the rate of change is 1/2.
the graph is (0,0) and (2,3) what is the rate of change
To determine the rate of change of the linear function given the graph points (0,0) and (2,3), we can use the formula for slope:

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

Using the given points, we have:

change in y = 3 - 0 = 3,
change in x = 2 - 0 = 2.

Therefore, the slope or rate of change of the linear function is:

slope = 3/2.

So, the rate of change is 3/2.
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