SOLUTION: Which of the following is the equation of a line parallel to 3y = 12x + 5 that passes through (3, 11)?

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Question 852344:

Which of the following is the equation of a line parallel to 3y = 12x + 5 that passes through (3, 11)?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+3y+=+12x+%2B+5+
+y+=+4x+%2B+5%2F3+
Any line parallel to this one will
have slope = +4+
So, the line parallel to the given line
looks like +y+=+4x+%2B+b+
To find +b+, you just plug
the point (3,11) into the equation
+11+=+4%2A3+%2B+b+
+b+=+11+-+12+
+b+=+-1+
So, the equation is:
+y+=+4x+-+1+
------------------
Here's a plot of the 2 lines:
+graph%28+400%2C+400%2C+-6%2C+6%2C+-6%2C+6%2C+4x+%2B+5%2F3%2C+4x+-+1+%29+