Question

Which lines are perpendicular to the line y – 1 = One-third(x+2)? Check all that apply.

y + 2 = –3(x – 4)
y − 5 = 3(x + 11)
y = -3x – Five-thirds
y = One-thirdx – 2
3x + y = 7

Answer 1

Perpendicular slope = negative reciprocal of 1/3, so m = −3.

Check slopes:
- y + 2 = −3(x − 4) → m = −3 ✅
- y − 5 = 3(x + 11) → m = 3 ✖
- y = −3x − Five-thirds (= −5/3) → m = −3 ✅
- y = One-third x − 2 → m = 1/3 ✖
- 3x + y = 7 → y = −3x + 7 → m = −3 ✅

So the perpendicular lines are: y + 2 = −3(x − 4); y = −3x − 5/3; and 3x + y = 7.