SOLUTION: Find an equation for the line parallel to 4y+16x=12 and goes through the point (−7,−6) Write your answer in the form y=mx+b

Algebra ->  Expressions-with-variables -> SOLUTION: Find an equation for the line parallel to 4y+16x=12 and goes through the point (−7,−6) Write your answer in the form y=mx+b      Log On


   

Question 1019357: Find an equation for the line parallel to 4y+16x=12
and goes through the point (−7,−6)
Write your answer in the form y=mx+b
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
The desired line would have an equation of the form 4y + 16x = k for some constant k, since the two lines are supposed to be parallel. To find k, substitute x = -7 and y = -6 into the equation, giving
4*-6 +16*-7 = k
==>k = -136
==> the equation of the line is 4y + 16x = -136, or y + 4x = -34, or
y = -4x - 34.