39. Write the equation of a line that is perpendicular to the given line and that passes through the given point.

y + 2 = 1/3(x – 5); (–4, 3)

A.)y = –3x + 15
B.)y = –3x – 9
C.)y = –4x + 3
D.)y = –1/3x – 11

I don't know how to do this.

1 answer

sure you do. The given line has slope 1/3 and passes through (5,-2).

You want a line with slope -3 that passes through (-4,3).

y-3 = -3(x+4)
y = -3x -9

(B)