Question

for which of the following order pairs will the slope between the to points be 3/4?
(-2,3) and (4,7)
(2,8) and (5,2)
(0,6) and (8,12)
(-1,9) and (-3,3)

Explanation:

Step1: Recall slope formula

The slope formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Check first - pair $(-2,3)$ and $(4,7)$

$m=\frac{7 - 3}{4-(-2)}=\frac{4}{6}=\frac{2}{3}$

Step3: Check second - pair $(2,8)$ and $(5,2)$

$m=\frac{2 - 8}{5 - 2}=\frac{-6}{3}=-2$

Step4: Check third - pair $(0,6)$ and $(8,12)$

$m=\frac{12 - 6}{8 - 0}=\frac{6}{8}=\frac{3}{4}$

Step5: Check fourth - pair $(-1,9)$ and $(-3,3)$

$m=\frac{3 - 9}{-3-(-1)}=\frac{-6}{-2}=3$

Answer:

$(0,6)$ and $(8,12)$