Question

Which pairs of points would result in a line with a rate of change of 2.1? Select all that apply.

A. (-4,11) and (-2,7)
B. (5, 6) and (-5, 12)
C. (0,3) and (-4,11)
D. (0, – 3) and (5, 7)

Answer 1

Answer: A, C and D

Explanation:

Let us find the slope(rate of change ) of each pair of points

The slope formula is

Plug in the points (− 4 ,− 11 ) and (-2 , − 7) to get;

The rate of change of this pair 2:1

For B part, we plug the points ( 5 , 6 ) and ( − 5 , 12 )

The rate of change is NOT 2:1

For part C, we plug in ( 0 , − 3 ) and ( − 4 , − 11 )

The rate of change of this pair is also 2:1

For part D, we plug in (0 , − 3) and ( 5 , 7 )

This also has rate of change to be 2:1