SOLUTION: Decide whether the pair of lines is parallel, perpendicular or neither. 3x+5y=3 5x+3y=4

Question 189764: Decide whether the pair of lines is parallel, perpendicular or neither.
3x+5y=3
5x+3y=4
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
There are actually (4) possibilities when given 2 equations
---------------
(1) They could actually be the SAME line

These are the same line because one is an
exact multiple of the other
---------------
(2) They can be parallel lines
If the slope of DISABLED_event_one= the slope of the other
---------------
(3) Perpendicular lines
If the slope of DISABLED_event_one= the negative reciprocal
of the slope of the other
---------------
(4) Two different lines, neither parallel nor perpendicular
----------------

These need to be put in the slope-intercept form
which is: (m is the slope)

Subtract from both sides

Divide both sides by

Notice that
----------------

Subtract from both sides

Divide both sides by

Notice
If this slope was 5/3, it would be perpendicular
to the other line.
----------------
These two lines are neither the same line, parallel, or
perpendicular. I'll plot them:

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