Question

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

2 choices that work!
A.
(0,5) and (-4,8)
B.
(6,-1) and (10,2)
C. (1,5) and (4,7)
D.
(0,5) and (-4,2)
E.
(-4,4) and (-1,7)

Answer 1

D.

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

E.

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

Explanation:

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

Slope =
`(y_(2) - y_(1) )/(x_(2) - x_(1) )`

A.

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

x₁ = 0 y₁ = 5

x₂ = -4 y₂ = 8

Slope =
`(8-5)/(-4-0)` =
`-(3)/(4)`

B.

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

x₁ = 6 y₁ = -1

x₂ = 10 y₂ = 2

Slope =
`(10-6)/( 2-(-1))` =
`(4)/(3)`

C.

(1,5) and (4,7)

x₁ = 1 y₁ = 5

x₂ = 4 y₂ = 7

Slope =
`(7-5)/(4-1)` =
`(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 =
`(7-4)/(-1-(-4))` =
`(3)/(4)`