Question

Which pairs of points would result in a line with a rate of change of 2:1? Select all that apply.

Answer 1

Options A, C, D are true.

Explanation:

We have to choose the pair of points from that given in the attached file which will result in a line with a rate of change i.e. slope of 2:1 i.e. 2.

A. The points are (-4,-11) and (-2,-7).

Then the slope of the joining line is
`(-7-(-11))/(-2-(-4)) =2`

B. The points are (5,6) and (-5,12).

Then the slope of the joining line is
`(12-6)/(-5-5) =-(3)/(5)`

C. The points are (0,-3) and (-4,-11).

Then the slope of the joining line is
`(-11-(-3))/(-4-0) =2`

D. The points are (0,-3) and (5,7).

Then the slope of the joining line is
`(7-(-3))/(5-0) =2`

Therefore, options A, C, D are true. (Answer)