Question

A line is perpendicular to y = 3x - 8

and intersects the point (2, 2).
What is the equation of this
perpendicular line?

Answer 1

y - 2 = (-1/3)(x - 2)

Explanation:

Perpendicular lines have slopes that are negative reciprocals of one another. Thus, a line perpendicular to the given y = 3x - 8 has slope -1/3.

The desired equation is thus y - k = m(x - h), or, specifically,

y - 2 = (-1/3)(x - 2)