Question

is this pair of lines parallel, perpendicular, or neither?

5x - 6y = 19
6x + 5y = -30

Answer 1

You'll need to convert each equation into slope-intercept form [ y=mx +b ].
Then compare the slopes (the coefficient in front of the x variable).
If the lines are parallel then the coeffiecients of each equation will match.
If the lines are perpendicular then one coeffiecient will be the like this...
slope 1: 5/3 Slope 2: -3/5 <-- the negative inverse of each other.

Answer 2

Did this make sense?