What is an equation of the line that passes through the point ( 3 , − 2 ) (3,−2) and is perpendicular to the line x − 2 y = 18 x−2y=18?

Answer 1

The product of slopes of perpendicular lines is -1. Find the slope of the given line.

m₁ = -1/-2 = 1/2

The slope of the perpendicular line is

m = -1/(1/2) = -2

In point slope form, the equation of the perpendicular line is

y + 2 = -2(x - 3)