The graph of a linear function is shown on the grid

(-3, 3.6) (5,2)

What is the rate of change of `y` with respect to `x` for this function?

1 answer

To find the rate of change of `y` with respect to `x`, we need to calculate the slope of the line that passes through the two given points (-3, 3.6) and (5, 2).

The slope formula is given by:
m = (y2 - y1) / (x2 - x1)

Plugging in the coordinates of the two points:
m = (2 - 3.6) / (5 - (-3))
m = -1.6 / 8
m = -0.2

Therefore, the rate of change of `y` with respect to `x` for this function is -0.2.