What’s the rate of change between these two points?

Question

(5,-4) and (-10,-20)

Answer 1

When they ask for the rate of change between 2 points all that is being asked for is the slope between the 2 points.

m=(y2-y1)/(x2-x1)

m=(-20-(-4))/(-10-5)=-16/-15=16/15

Answer 2

The rate of change means the slope.

m = [-20 - (-4)]/(-10-5) = (-16)/(-15) = 16/15 or about 1.07

Answer 3

rise/run is what we want-the slope.

(y_f-y_i)/(x_f-x_i)= (-20-(-4))/(-10-5)=16/15

To find the rise we take the final y and subtract the initial y. To find the run we take the final x and subtract the initial x. Hope this helps!