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Write the equation of a line parallel to 2x + 3y = 12 and passes through the point (-4,7).

 Mar 24, 2021
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3y = 12 - 2x

y = 4 - 2/3x

The slope is -2/3, so the parallel line slope is also -2/3. 

 

y =-2/3x+b

Now we can just plug (-4, 7) in. 

 

7 =-2/3(-4) +b

7 = 8/3 + b

21/3 = 8/3 + b

13/3 = b

So our final equation is y = -2/3x+13/3

 

I hope this helped. :))

 

=^._.^=

 Mar 24, 2021

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