### 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 $y$.

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

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

Get $y$ by itself by subtracting $12x$ from both sides.

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

$6y+12x=4$
$-12x-12x$
$6y=4−12x$

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

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