SOLUTION: Find the equation of the line parallel to -3 x - 12 y = -16 . and passing through the point ( -9 , 6 ). The equation of the line is y =

Algebra ->  Linear-equations -> SOLUTION: Find the equation of the line parallel to -3 x - 12 y = -16 . and passing through the point ( -9 , 6 ). The equation of the line is y =      Log On


   

Question 506963: Find the equation of the line parallel to -3 x - 12 y = -16 . and passing through the point ( -9 , 6 ).
The equation of the line is y =
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Anything parallel to -3x-12y = -16 is of the form -3x-12y = C where C is any number


Since the line passes through the point ( -9 , 6 ), we know that x = -9 and y = 6


So plug this info in to solve for C


-3x-12y = C

-3(-9)-12(6) = C

27 - 72 = C

-45 = C

C = -45

So the equation of the parallel line is -3x - 12y = -45

Let me know if you need more help or if you need me to explain a step in more detail.
Feel free to email me at jim_thompson5910@hotmail.com
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Thanks,

Jim