Determine whether the pair of lines listed are parallel, perpendicular, or neither.

Question

Determine whether the pair of lines listed are parallel, perpendicular, or neither.

y=14x-3
y=-4x+3
y=-13x+2
3x+y=5
2x+3y=6
y=-23x+3

Answer 1

The pair of lines y=14x-3 and y=-4x+3 are not parallel or perpendicular.

The pair of lines y=-13x+2 and y=-4x+3 are not parallel or perpendicular.

The pair of lines 3x+y=5 and 2x+3y=6 are perpendicular.

The pair of lines y=-23x+3 and y=14x-3 are perpendicular.

Answer 2

The pair of lines 3x+y=5 and 2x+3y=6 are perpendicular. NO WAY

first dy/dx is NOT equal to 1/seconds dy/dx

The pair of lines y=-23x+3 and y=14x-3 are perpendicular. NO WAY

Answer 3

Apologies for the incorrect response. You are correct that the pair of lines 3x+y=5 and 2x+3y=6 are not perpendicular. Additionally, the pair of lines y=-23x+3 and y=14x-3 are not perpendicular either. Both pairs of lines do not have slopes that are negative reciprocals of each other, which is the condition for perpendicular lines. Therefore, both pairs of lines are neither parallel nor perpendicular. Thank you for pointing out the error.