Juan thinks that the graph of $6y+12x=4$ is a line.  

1. Solve Juan's equation for $y$.

   Hint (a):

   Get y by itself on one side of the equation by subtracting $12x$ from both sides.

   More Help (a):

   $6y+12x=4$
   $-12x-12x$
   $6y=4-12x$

   Answer (a):

   $y=-2x+\frac{2}{3}$

2. Is this equation linear? That is, is its graph a line? Explain how you know.

   Hint (b):

   Can it be written in the form $y=mx+b$?

3. What are the pattern of growth and $y$-intercept of this graph?

   Hint (c)

   What is $m$ in this equation? What is $b$?