Answer:
4/5
Step-by-step 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.
