Question

Which lines are perpendicular to the line y-1=1/3(x+2) check all that apply

y+2=-3(x-4)
y-5=3(x+11)
y=-3x -5/3
y=1/3x-2
3x+y=7

Answer 1

First, third and fifth.

Explanation:

Two lines are perpendicular when one's slope is the negative reciprocal of the other's.

The slope of your line is easy to find out: 1/3

Now, a perpendicular line must have a negative reciprocal slope, that is -3.

Of the five lines given as options, only the first one, the third one and the fifth have a slope of -3.

For the record, the slope of the second line is +3 and the slope of the fourth line is +1/3.