Question

Write an equation of the line passing through the point (5, 2) that is perpendicular to the line −x+3y=12.

Answer 1

Answer:

y - 2 = (-3)(x - 5)

Step-by-step explanation:

Solving the given equation for y enables us to determine the slope of this line:

3y = x + 12, or y = (1/3)x + 4.

Any line perpendicular to this line has slope -3, which is the negative reciprocal of 1/3.

The desired equation (of the perpendicular line through (5,2 ) is then

y - 2 = (-3)(x - 5)