Is y=4x-1 parallel perpendicular or neither to 8x+2y=-6

Neither

Step-by-step explanation:

Rearrange 8x+2y=-6 to y-intercept form

2y = - 8x - 6

y = - 4x - 3

y=4x-1 has a slope of 4.

A line perpendicular to this would have the slope - 1/4.

A line parallel to this woud have the same slope, 4.

8x+2y=-6 has a slope of - 4.

Therefore, 8x+2y=-6 is neither perpendicular nor parallel to y=4x-1.