Question

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

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

Answer 1

Answer: Options 1, 3, 5

Explanation:

Perpendicular lines have slopes that are negative reciprocals, so since the slope of the given line is 1/3, we need to find lines with a slope of -3.

• Option 1 has a slope of -3.
• Option 2 has a slope of 3.
• Option 3 has a slope of -3.
• Option 4 has a slope of 1/3.
• If we subtract 3x from both sides, we get y=-3x+7, so option 5 has a slope of -3.