SOLUTION: are the following pairs of lines parrel, perpendicular or neither? A and B are seperate. A) x-3y=4 6x-2y=11 B) 2x-4y=8 5x+y=9

Algebra ->  Linear-equations -> SOLUTION: are the following pairs of lines parrel, perpendicular or neither? A and B are seperate. A) x-3y=4 6x-2y=11 B) 2x-4y=8 5x+y=9      Log On


   

Question 316752: are the following pairs of lines parrel, perpendicular or neither? A and B are seperate.
A) x-3y=4
6x-2y=11
B) 2x-4y=8
5x+y=9
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Convert lines to slope-intercept form, y=mx%2Bb.
A)
x-3y=4
-3y=-x%2B4
y=%281%2F3%29x-4%2F3
.
.
.
6x-2y=11
-2y=-6x%2B11
y=3x-11%2F2
.
.
.
Parallel lines have slopes that are identical.
Perpendicular lines have slope that are negative reciprocals.
A) is neither of these.
.
.
.
B)
2x-4y=8
-4y=-2x%2B8
y=%281%2F2%29x-2
.
.
.
5x%2By=9
y=-5x%2B9
.
.
.
Again, comparing the slopes, %281%2F2%29 and -5, neither criteria apply.