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What is the equation of the line parallel to $4x+2y=8$ and passing through the point $(0,1)$? Write the equation in slope-intercept form.

 Jun 21, 2020
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We first convert 4x+2y=8 into slope intercept form.

 

4x+2y=8

2y=-4x+8

y=-2x+4

 

Parallel lines have the same slope, so -2 y=-2x will remain the same for the parallel line's equation. However, the y intercept will not and we let it be the variable b. We plug in the given point, (0,1).

 

y=-2x+b

1=0+b

b=1

 

So the equation is y=-2x+1.

 Jun 21, 2020

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