Question

If the slope of the line xy-plane the passes through the points (2,-4) and (6,k) is 3/2, what is the value of k?

Answer 1

k = 2

Explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (2, - 4) and (x₂, y₂ ) = (6, k)

m =
`(k+4)/(6-2)` =
`(k+4)/(4)`

Equating the 2 slopes, that is

`(k+4)/(4)` =
`(3)/(2)` ( cross- multiply )

2(k + 4) = 12 ( divide both sides by 2 )

k + 4 = 6 ( subtract 4 from both sides )

k = 2