# How do you write the equation in slope intercept form given 6x - 2y = 12?

Feb 22, 2016

Equation in slope intercept form is $y = 3 x - 6$.

#### Explanation:

Slope intercept form of a linear equation is $y = m x + c$, where $m$ is the slope of the line and $c$ is intercept on $y$ axis.

For converting the linear equation 6x−2y=12 in slope intercept form, we have to transpose terms to get te value of $y$.

Hence, we transpose term containing $x$ to RHS, which makes it

$- 2 y = - 6 x + 12$ and for getting value of $y$, let us divide both sides by $- 2$ and equation becomes

$y = \frac{- 6}{- 2} x + \frac{12}{- 2}$ or $y = 3 x - 6$

Hence equation in slope intercept form is $y = 3 x - 6$.