find the missing coordinate using the given slope

Question

(6,9) and (u,-4)

slope=13/9

Answer 1

The point-slope form of the line is

y -y₁ = m (x -x₁₎

Putting (6,9) in for (x₁,y₁) and u = x, y = -4 and m =13/9 gives

(-4 - 9) = (13/9)(u - 6)

-13 = 13/9 u - 78/9 Multiply by 9

-117 = 13 u - 78 Add 78

-39 = 13 u Divide by 13 and reduce

u = -3

Answer 2

(-4-9) / (u-6) = 13/9

-13 / (u-6) = 13/9 So, u - 6 = -9. u = -3