Are these parallel, perpendicular, or neither? 2x-y = - 1 and 4x-2y=6

Parallel

Step-by-step explanation:

Parallel lines have equal slopes

Perpendicular slope have a product = - 1

the equation of a line in slope-intercept form is

y = mx + c (m is the slope and c the y-intercept)

rearrange both equations into this form and compare slopes

2x - y = - 1 (subtract 2x from both sides)

- y = - 2x - 1 (multiply through by - 1)

y = 2x + 1 ← in slope-intercept form

with slope m = 2

4x - 2y = 6 (subtract 4x from both sides)

- 2y = - 4x + 6 (divide all terms by - 2)

y = 2x - 3 ← in slope-intercept form

with slope m = 2

both equations have the same slope, therefore they are parallel