Answer:
Parallel
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