SOLUTION: determine whether the following pairs of lines are perpendicular or not perpendicular y=-x+4 y=x-3

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Question 59332: determine whether the following pairs of lines are perpendicular or not perpendicular y=-x+4 y=x-3
Found 2 solutions by funmath, checkley71:
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
determine whether the following pairs of lines are perpendicular or not perpendicular
y=-x+4
y=x-3
:
These lines are in slope intercept form highlight%28y=mx%2Bb%29, where m=slope and (0,b)=y-intercept.
Perpendicular lines have slopes that are negative reciprocals of each other, that means they are opposite signs and upside down, because of this quality, if we multiply their slopes we get -1 m%2A%28-1%2Fm%29=-1.
y=-x+4 -->> y=highlight%28-1%29x%2B4 m=-1
y=x-3 -->> y=highlight%281%29x-3 m=1
:
If you multiply their slopes -1*1=-1, therefore the lines are perpendicular.
Happy Calculating!!!

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
Y=-X+4 & Y=X-3 ARE NOT PERPENDICULAR BECAUSE THEIR SLOPES (-X,X) ARE NOT NEGATIVE RECIPRICALS OF EACH OTHER. THE NEGATIVE RECEPTICAL OF -X IS 1/X.