First, find the perpendicular slope
y = 0.3x + 6 ⇒ m = 0.3 = [tex]\frac{3}{10}[/tex]
perpendicular slope = [tex]-\frac{10}{3}[/tex]
Next, input the point (x₁, y₁) and slope (m) into the Point-Slope formula
y - y₁ = m(x - x₁)
y - (-8) = [tex]-\frac{10}{3}[/tex](x - 3)
y + 8 = [tex]-\frac{10}{3}x[/tex] + 10
y = [tex]-\frac{10}{3}[/tex] + 2
