Question

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

Answer 1

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.