Geometry Question (Equation of a Line)

Question

+3

2612

1

The equation of line k is y = 1/3x − 2. The equation of line m is −2x + 6y = 18. Lines k and m are

1.) Parallel

2.) Perpendicular

3.) The same Line

4.)Neither Parallel nor Perpendicular

None of my notes explain it and online help just makes it more confusing. Please help!

Guest Aug 9, 2014

+130466

+13

Best Answer

y = 1/3x − 2

−2x + 6y = 18

Let's get the second line in the same form as the first one. So we have..

6y = 2x + 18 .....divide through by 6

y = 1/3x + 3

These lines have the same slope (1/3) but different y intercepts. Thus, they are parallel.