3x - 5y = 6
-3x -3x
-5y = -3x + 6
[tex]\frac{-5y}{-5} = \frac{-3x}{-5} + \frac{6}{-5}[/tex]
[tex]y = \frac{3}{5}x - \frac{6}{5}[/tex] ⇒ m = [tex]\frac{3}{5}[/tex]
perpendicular slope (m⊥) = [tex]-\frac{5}{3}[/tex]
Point-Slope equation:
m = [tex]-\frac{5}{3}[/tex] (x₁ , y₁)= (-8, 0)
y - y₁ = m(x - x₁)
y - 0 = [tex]-\frac{5}{3}[/tex](x - (-8))
y = [tex]-\frac{5}{3}[/tex](x + 8)
y = [tex]-\frac{5}{3}x - \frac{40}{3}[/tex]
