Question

Find the slope of a line perpendicular to the line whose equation is 18, x, plus, 3, y, equals, 8118x+3y=81. Fully simplify your answer.

Answer 1

First put the line in slope form: 18x + 3y = 81 → 3y = 81 − 18x → y = 27 − 6x, so its slope is −6.
The slope of a perpendicular line is the negative reciprocal: −1/(−6) = 1/6.