SOLUTION: which of the following lines is parallel to the line with the equation 2y+4x=3

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Question 607358: which of the following lines is parallel to the line with the equation 2y+4x=3
Found 3 solutions by jim_thompson5910, ewatrrr, richwmiller:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Solve for y

2y+4x=3

2y=3-4x

2y = -4x + 3

y = -4x/2 + 3/2

y = -2x + 3/2

The slope of the line is then m = -2

Any parallel line will have the same slope.
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Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 

Hi

Using the standard slope-intercept form for an equation of a line y = mx + b  where m is the slope and b the y-intercept.  

2y+4x=3

 2y = -4x+3

  y = -2x + 3/2    |Pt(0,3/2) and Pt(1,-1/2) on this line

All lines with slope = -2 would be parallel



 

Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
 You do have to watch for identical lines (multiples) . They will also have a slope of two but won't be parallel. They will have an infinite number of solutions whereas parallel lines will have no solutions. 

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