Determine whether the given linear equations are parallel, perpendicular, or neither. 5x - 3y = - 6 3x + 5y = - 20

We need to put these equations into y=mx+b format.

5x-3y=-6

-3y=-5x-6. (take 5x from both sides)

y=5/3 x + 2 (divide both sides by - 3)

The slope is 5/3

3x+5y=-20

5y = - 3x - 20 (subtract 3x from both sides)

y=-3/5x - 4 (divide both sides by 5)

The slope is - 3/5

The slopes of perpendicular lines are the opposite (+/-) reciprocal. We have 5/3 and - 3/5. This shows they are perpendicular.