Question

Write the point-slope form of the line passing through (2, -12) and perpendicular to y = 3x.

Answer 1

y+12 = -1/3(x-2)

Explanation:

y = 3x

The slope is 3

Lines perpendicular have a slope that is the negative reciprocal

-1/3 is the slope of a line that is perpendicular

Point slope form is

y-y1 = m(x-x1) where m is the slope and (x1,y1) is the point on the line

y --12 = -1/3(x-2)

y+12 = -1/3(x-2)