# What is the slope-intercept form of 6x - 2y = 12 ?

May 22, 2016

We need the form $y = m \cdot x + b$

#### Explanation:

If you see that all numbers are even we can divide everything by $2$:
$\to 3 x - y = 6$

Add $y$ to both sides:
$\to 3 x - \cancel{y} + \cancel{y} = 6 + y$

Now, subtract $6$ from both sides:
$\to 3 x - 6 = \cancel{6} - \cancel{6} + y$

$\to y = 3 x - 6$