SOLUTION: Are the following lines parallel, perpendicular, or neither? L1 with equation x – 5y = 10 L2 with equation 5x + y = 5

Algebra ->  Algebra  -> Linear-equations -> SOLUTION: Are the following lines parallel, perpendicular, or neither? L1 with equation x – 5y = 10 L2 with equation 5x + y = 5      Log On

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Question 58184: Are the following lines parallel, perpendicular, or neither? L1 with equation x – 5y = 10 L2 with equation 5x + y = 5
Answer by funmath(2873) About Me  (Show Source):
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Are the following lines parallel, perpendicular, or neither? L1 with equation x – 5y = 10 L2 with equation 5x + y = 5
:
Put both equations in slope intercept form so that we can find the slope of each line. Slope intercept form is:highlight%28y=mx%2Bb%29, slope=m and (0,b) is the y-intercept.
L1) x-5y=10
-x%2Bx-5y=-x%2B10
-5y=-x%2B10
-5y%2F-5=-x%2F-5%2B10%2F-5
y=%281%2F5%29x-2 slope=m=(1/5)
L2)5x+y=5
-5x%2B5x%2By=-5x%2B5
y=-5x%2B5 slope=m=-5 or -5/1
:
Parrallel lines have = slopes.
Perpendiculare lines have slope that are negative reciprocals of each other (opposite signs and upsides down.)
If they're neither of those it's neither.
1%2F5 and -5%2F1 are opposite signs and upside down. Therefore the lines are parallel.
Happy Calculating!!!