SOLUTION: This one is beyond me: Determine which two equations represent perpendicular lines: a)y=5/3x-4 b)y=4x-5/3 c)y=-1/4x+5/3 d)y=1/4x-5/3 If it is not too much to ask could you sh

Algebra ->  Algebra  -> Linear-equations -> SOLUTION: This one is beyond me: Determine which two equations represent perpendicular lines: a)y=5/3x-4 b)y=4x-5/3 c)y=-1/4x+5/3 d)y=1/4x-5/3 If it is not too much to ask could you sh      Log On

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Question 66081: This one is beyond me:
Determine which two equations represent perpendicular lines:
a)y=5/3x-4
b)y=4x-5/3
c)y=-1/4x+5/3
d)y=1/4x-5/3
If it is not too much to ask could you show me how you came to the answer please?
Thanks,Brighid
Answer by funmath(2873) About Me  (Show Source):
You can put this solution on YOUR website!
Hi Brighid,
Determine which two equations represent perpendicular lines:
a)y=5/3x-4
highlight%28b%29y=4x-5/3
highlight%28c%29y=-1/4x+5/3
d)y=1/4x-5/3
This is how you know. Perpendicular lines have slopes that are negative reciprocals. (opposite signs and upside down)
The slope intercept form of a line is: highlight%28y=mx%2Bb%29, where the slope is m and (0,b)=y-intercept.
(b) has a slope of m=4=4/1
(c) has a slope of m=-1/4
The slopes have the opposite signs and are upside down form each other.
Happy Calculating!!!