Question

The equations of two lines are x - 3y = 6 and y = 3x + 2. Determine if the lines are parallel, perpendicular or neither.

parallel
perpendicular
neither

Answer 1

@pandaluvs

Answer 2

Perpendicular

Answer 3

Thank you!

Answer 4

Thank you

Answer 5

Rearrange the equations and from this:
Put this together with the sign change, and you get that the slope of the perpendicular line is the "negative reciprocal" of the slope of the original line — and two lines with slopes that are negative reciprocals of each other are perpendicular to each other.

Answer 6

@pandaluvs Will you help me with some more questions, please?

Answer 7

yes