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.
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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.