Question

(-1,-3), (7,r), m=3/4​

Answer 1

r = 3

Explanation:

Calculate the slope using the slope formula

m = (y₂ - y₁ )/ (x₂ - x₁ )

with (x₁, y₁ ) = (- 1, - 3) and (x₂, y₂ ) = (7, r)

m =
`(r+3)/(7+1)` =
`(r+3)/(8)`

Equating the 2 slopes, that is

`(r+3)/(8)` =
`(3)/(4)` ( cross- multiply )

4(r + 3) = 24 ( divide both sides by 4 )

r + 3 = 6 ( subtract 3 from both sides )

r = 3