SOLUTION: Are the following lines parallel, perpendicular, or neither? L1 with equation x – 4y = 12 L2 with equation 4x + y = 4 (A) Perpendicular (B) Neither (C) Parallel

Algebra ->  Equations -> SOLUTION: Are the following lines parallel, perpendicular, or neither? L1 with equation x – 4y = 12 L2 with equation 4x + y = 4 (A) Perpendicular (B) Neither (C) Parallel       Log On


   

Question 69824: Are the following lines parallel, perpendicular, or neither?
L1 with equation x – 4y = 12
L2 with equation 4x + y = 4
(A) Perpendicular
(B) Neither
(C) Parallel
Answer by tutorcecilia(2152) About Me  (Show Source):
You can put this solution on YOUR website!
1. Solve for y in each equation.
2. if the slopes are equal, the equations are parellel.
3. if the slopes are negative reciprocals, the lines are perpendicular
In this case the lines have slopes that are negative reciprocals and are therefore perpendicular:
y=1/4x-3 (slope = 1/4)
y=-4x+4 (slope = -4)