### Home > AC > Chapter 6 > Lesson 6.1.1 > Problem6-12

6-12.

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

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

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

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

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

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

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

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

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