Question

What is the rate of change for the interval between points A and C? Is it greater than, less than, or equal to the rate of change between points A and B?
A. 4, greater than

B. 1/3, equal to

C. 1/4, less than
D. 3, equal to

Answer 1

Correctanswer is A.

$A(1,-3),B(2,0),C(3,5) \\ \\m_{AC}= \frac{5-(-3)}{3-1}= \frac{8}{2} = 4 \\ \\m_{AB}= \frac{0-(-3)}{2-1}= \frac{3}{1} =3 \\ \\m_{AC}>m_{AB}$