Question

The graph of a line is shown on the grid. The coordinates of both points indicated on the graph of the line are integers. the coordinate is (-3,6) and the other one is (7,-4).What is the rate of change of `y` with respect to `x` for this line?

Answer 1

To find the rate of change of y with respect to x, we can use the formula:

Rate of change = (change in y) / (change in x)

First, we need to find the change in y and the change in x.

The change in y is the difference between the y-coordinates of the two points:
Change in y = -4 - 6 = -10

The change in x is the difference between the x-coordinates of the two points:
Change in x = 7 - (-3) = 7 + 3 = 10

Now we can calculate the rate of change:
Rate of change = (-10) / (10) = -1

Therefore, the rate of change of y with respect to x for this line is -1.