Find whether the lines #3y-4x=5# and #4y+6=3x# are parallel or perpendicular?

1 Answer
Shwetank Mauria
Apr 7, 2016

Lines are neither parallel nor they are perpendicular to each other.

Explanation:

Converting #3y-4x=5# to slope intercept form we get #y=4/3x+5/3#, hence its slope is #4/3#.

Now converting #4y+6=3x# to slope intercept form we get #y=3/4x-6/4#, hence its slope is #3/4#.

While slope of parallel lines is always equal, product of slopes of perpendicular lines is #-1#. As neither slopes are equal nor their product is #-1#, lines are neither parallel nor they are perpendicular to each other.

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