SOLUTION: for each pair of lines given below, find out if they are parallel, perpendicular, or neither:
a) 5x + 2y = 6 and 3x = 2y - 12
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Question 582390: for each pair of lines given below, find out if they are parallel, perpendicular, or neither:
a) 5x + 2y = 6 and 3x = 2y - 12
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
First get the equations into the form
where = slope
and
-----------------
The slopes are different, which means
the lines are not parallel.
This also means they are not the same line.
-----------------
In order to be perpendicular, the slopes must
be related like this:
For these slopes, ,
but the other slope is
so the lines are not perpendicular.
-----------------
The only choice left is that they are different lines
Here's a plot of the lines:
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