Question

Find the equation of the line that is perpendicular to y = - 1/3 x + 2 and passes though the point (-5,2)

Answer 1

y - 2 = 3(x + 5)

Explanation:

The given equation has slope -1/3. Any line perpendicular to the given line has a slope which is the negative reciprocal of -1/3, which comes out to +3.

Use the point-slope formula y - k = m(x - h):

y - 2 = 3(x + 5)