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