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.

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

Answer 1

4/5

Explanation:

You want to know the rate of change of y with respect to x for the line between points (-5, -1) and (5, 7).

Rate of change

The rate of change is the ratio of the change in y to the change in x.

The change in y is 7 -(-1) = 8 units.

The change in x is 5 -(-5) = 10 units.

Then the rate of change is ...

∆y/∆x = 8/10 = 4/5

The rate of change of 'y' with respect to 'x' is 4/5.