determine whether the pair of lines are parallel, perpendicular, or neither

Question

x-4y=-7

y=5x-7

Answer 1

We need to look at the slopes. To do this, we need to manipulate the first equation.

x-4y=-7 Subtract x from boht sides

-4y=-x-7 Divide both sides by -4

y=4x+7/4 m=4

y=5x-7 m=5

The slopes are not equal, so they are not parallel. They are not the negative reciprocals, so they are not perpendicular. The answer is neither.