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

Answer:

Step-by-step 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

Answer 2

Step-by-step 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:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

Substitute:

$m_{PQ}=\dfrac{4-7}{7-2}=\dfrac{-3}{5}=-\dfrac{3}{5}\\\\\\m_{QR}=\dfrac{1-4}{12-7}=\dfrac{-3}{5}=-\dfrac{3}{5}$

$\large\boxed{m_{PQ}=m_{QR}}$