Question

Select the 2 pairs of points so that the line between those points has slope 3/4. There are

Answer 1

Answer:

D.

(0,5) and (-4,2)

E.

(-4,4) and (-1,7)

Step-by-step explanation:

To solve this problem, we apply the slope formula and compare with the known slope to see if the answer tallies;

 Slope  = $\frac{y_{2} - y_{1} }{x_{2} - x_{1} }$  

A.

(0,5) and (-4,8)

     x₁ = 0       y₁ = 5

     x₂ = -4     y₂  = 8

   Slope  = $\frac{8-5}{-4-0}$   = $-\frac{3}{4}$

B.

(6,-1) and (10,2)

     x₁ = 6       y₁ = -1

     x₂ = 10     y₂  = 2

   Slope  = $\frac{10-6}{ 2-(-1)}$   = $\frac{4}{3}$

C.

(1,5) and (4,7)

      x₁ = 1       y₁ = 5

     x₂ = 4     y₂  = 7

   Slope  = $\frac{7-5}{4-1}$   = $\frac{2}{3}$

D.

(0,5) and (-4,2)

     x₁ = 0       y₁ = 5

     x₂ = -4     y₂  = 2

   Slope  =  (2-5) / (-4-0)  = 3/4

E.

(-4,4) and (-1,7)

      x₁ = -4       y₁ = 4

     x₂ = -1        y₂  = 7

   Slope  = $\frac{7-4}{-1-(-4)}$   = $\frac{3}{4}$