Question

If the slope of the line through points (3 , -2) and (1 , k) is 3/5 , find the value of k

Answer 1

Point slope formula is:
(y₂-y₁)=m(x₂-x₁)
(k - (-2) =
`(3)/(5)`(1 - 3)
k + 2 =
`(3)/(5)` (-2)
k + 2 =
`- (6)/(5)`
k = -16/5 = -3 1/5

check:

`(-3.2 + 2)/(1 - 3) = (3)/(5)`