Which line is parallel to 4x + 2y = 0?A. y=2x+3B. -1/2×+3C. y=-2x+3D. y=1/2x+3
2 answers:
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.
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.
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