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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.

 May 31, 2019
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We can easily tell that the new line's y intercept is 1

 

Therefore, in y=mx+b, we know that b is 1.

 

So we only need to know the slope.

 

We put 4x+2y=8 into slope-intercept form, which is y=-2x+4

 

Parrelel lines have the same slope.

 

So our new line equation is y=-2x+1

 

 

In these problems, ALWAYS know that the slope of two parrelel lines are the same.

 

Once you have the slope plugged into y=mx+b you can plug in y and x from a given coordinate to find b

 

THen you can make your equation

 May 31, 2019

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