Which line is parallel to 4x + 2y = 0?

A. y=2x+3

B. - 1/2*+3

C. y=-2x+3

D. y=1/2x+3

Convert to slope - intercept form:-

2y = - 4x

y = - 2x so the slope of this line is - 2

parallel lines have same slope

So its C.

Line A is parallel to line B if line A and B have the same slope and have the same or different y-intercept.

Convert the standard form equation to slope-intercept form as it will be easier to see the slope.

Solve for y.

4x + 2y = 0

2y = - 4x < - - Subtract 4x from each side

y = - 2x < - - Divide both sides by 2

In the slope-intercept form y = - 2x, a y-intercept of 0 is implied

Now find a slope-intercept form equation that has the same slope as y = - 2x

So, the answer is C y = - 2x + 3.