Answer:
The rate of change between the points (-3,0) and (-2,-5) is -5, equal to the rate of change between the points (-5,10) and (-4,5), because it is a linear function.
Step-by-step explanation:
The rate of change between the points (-3,0) and (-2,-5) is -5, equal to the rate of change between the points (-5,10) and (-4,5), because it is a linear function. Let's check:
Rate of change "r" between the points (xa,ya) and (xb,yb) is:
r = (yb-ya) / (xb,xa)
In this case the points are:
(-3,0)=(xa,ya)→xa=-3, ya=0
(-2,-5)=(xb,yb)→xb=-2, yb=-5
then, replacing the values in the formula:
r = (-5-0) / (-2-(-3))
r = (-5) / (-2+3)
r = (-5) / (1)
r = -5
