Question

Which best explains how you know that p(2,7) is on the same line as q(7,4) and r(12,1)

Answer 1

Explanation:

If P(2, 7), Q(7, 4) and R(12, 1) are collinear, then the slope of PQ is equal to the slope of QR.

The formula of a slope:

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

Substitute:

`m_(PQ)=(4-7)/(7-2)=(-3)/(5)=-(3)/(5)\\\\\\m_(QR)=(1-4)/(12-7)=(-3)/(5)=-(3)/(5)`

`\large\boxed{m_(PQ)=m_(QR)}`

Answer 2

Explanation:

if it has the same slope

the slope is

4-1=3

7-12=-5

slope=-3/5

4-7=-3

7-2=5

slope=-3/5