Question

Tell whether the lines for the pair of equations are parallel, perpendicular, or neither
y=-4/5x+3
4x-5y=-15

Answer 1

Find the slopes of these lines. If they're identical, they're parallel. If they are negative reciprocals, they're perpendicular. By negative reciprocals, I mean -3 and 1/3 as an example.

Answer 2

you need to find the slopes of the lines
y = -4/5x + 3 --- here the slope is -4/5

4x - 5y = -15
-5y = -4x - 15
y = 4/5x + 3 -- slope here is 4/5

The slopes are not the same, so they are not parallel.
The slopes are not negative reciprocals of each other, so they are not perpendicular.
That only leaves one....neither

Answer 3

Thank you tons!