Question

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

Answer 1

A,C,D

Explanation:

Complete 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)

Rate of change is the slope. 2:1 would mean a slope of simply, 2.

We need to find slope of each of the choices from A - D and see which one has 2. The formula would be:

`m=(y_2-y_1)/(x_2-x_1)`

Where m is the slope and

x_1 is first x point

x_2 is second x point

y_1 is first y point

y_2 is second y point

Let's calculate slope of each of the choices.

A.

`m=(y_2-y_1)/(x_2-x_1)\\m=(-7+11)/(-2+4)\\m=2`

THis one is okay.

B.

`m=(y_2-y_1)/(x_2-x_1)\\m=(12-6)/(-5-5)\\m=-(3)/(5)`

THis one is not 2:1.

C.

`m=(y_2-y_1)/(x_2-x_1)\\m=(-11+3)/(-4-0)\\m=2`

THis one is okay.

D.

`m=(y_2-y_1)/(x_2-x_1)\\m=(7+3)/(5-0)\\m=2`

This one is okay.

Hence, A, C, and D all have rate of change of 2:1