Question

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

Answer 1

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.

Answer 2

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.