SOLUTION: Are the lines parallel, perpendicular, or neither? For line 1: -8x + 2y + 12 = 0 For line 2: y = -1/4x + 4

Algebra ->  Points-lines-and-rays -> SOLUTION: Are the lines parallel, perpendicular, or neither? For line 1: -8x + 2y + 12 = 0 For line 2: y = -1/4x + 4      Log On


   



Question 1090449: Are the lines parallel, perpendicular, or neither?
For line 1: -8x + 2y + 12 = 0
For line 2: y = -1/4x + 4

Found 2 solutions by Alan3354, MathLover1:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find the slopes.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

to see if the lines parallel, perpendicular, or neither, use their slopes:
if the slopes are same, lines are parallel
if the slopes are negative reciprocal to each other, lines are perpendicular
For line 1:
-8x+%2B+2y+%2B+12+=+0
+2y+=+8x-12
+y+=+4x-6=> slope m=4
For line 2:
y+=+-%281%2F4%29x+%2B+4=> slope m=-1%2F4%7D%7D%0D%0A%0D%0Asince+%7B%7B%7B-1%2F4 is negative reciprocal to 4%7D%7D%2C+your+lines+are+%7B%7B%7Bperpendicular

+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+4x-6%2C+-%281%2F4%29x+%2B+4%29+