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.

-------------

The slope of the 1st eqn, m1 = -4/3

For the 2nd, m2 = -3/4

As you got above.

-------------------

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.

-----------------

The 2 slopes are inverses, but with the same sign --> neither. 

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