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) =$\frac{3}{5}$(1 - 3)
k + 2 = $\frac{3}{5}$ (-2)
k + 2 = $- \frac{6}{5}$
k = -16/5 = -3 1/5

check:
$\frac{-3.2 + 2}{1 - 3} = \frac{3}{5}$