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siniylev [52]
3 years ago
9

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

Mathematics
1 answer:
Reil [10]3 years ago
4 0

Answer:

A,C,D

Step-by-step explanation:

Complete Question:

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

<em>A.(−4,−11) and (−2−7) </em>

<em>B.(5,6) and (−5, 12) </em>

<em>C.(0,−3)and (−4,−11) </em>

<em>D. (0,−3) and (5, 7)</em>

<em />

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=\frac{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=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{-7+11}{-2+4}\\m=2

THis one is okay.

B.

m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{12-6}{-5-5}\\m=-\frac{3}{5}

THis one is not 2:1.

C.

m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{-11+3}{-4-0}\\m=2

THis one is okay.

D.

m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{7+3}{5-0}\\m=2

This one is okay.

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

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