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Question 413589: Decide whether the pair of lines is parallel, perpendicular or neither.
4x+3y=3
3x+4y=9
Here is what I have:
4x+3y=3
3y=-4x+3
y=-4/3x + 3/3 (= 1)
3x+4y=9
4y=-3x+9
y=-3/4x + 9/4
What would that make this and can you help explain the difference? I am pretty sure that parallel has the same slope and perpendicular is -1/x. I maybe be totally wrong, but I think it is neither.
Help would be appreciated.
Thank you much,
Jeffrey G
Found 2 solutions by ewatrrr, Alan3354:
Answer by ewatrrr(24785)   (Show Source):
You can put this solution on YOUR website!
Hi
Decide whether the pair of lines is parallel, perpendicular or neither.
4x+3y=3 OR y = -4/3x + 1 | m = -4/3
3x+4y=9 OR y = -3/4x + 9/4 | m = -3/4
Good work on finding the slopes: Neither, it is.
Answer by Alan3354(69443)  (Show Source):
You can put this solution on YOUR website! Decide whether the pair of lines is parallel, perpendicular or neither.
4x+3y=3
3x+4y=9
Here is what I have:
4x+3y=3
3y=-4x+3
y=-4/3x + 3/3 (= 1)
3x+4y=9
4y=-3x+9
y=-3/4x + 9/4
What would that make this and can you help explain the difference? I am pretty sure that parallel has the same slope and perpendicular is -1/x. I maybe be totally wrong, but I think it is neither.
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The slope of the 1st eqn, m1 = -4/3
For the 2nd, m2 = -3/4
As you got above.
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If they're parallel, the slopes are equal. They're not parallel.
If they're perpendicular, the slopes are negative reciprocals. They're not perpendicular.
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The 2 slopes are inverses, but with the same sign --> neither.
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