# What is the equation in slope-intercept form of the line: 2y -4x=- 2?

Jan 6, 2017

$y = 2 x - 1$

#### Explanation:

The slope-intercept form of a linear equation is:

$y = \textcolor{red}{m} x + \textcolor{b l u e}{b}$

Where $\textcolor{red}{m}$ is the slope and color(blue)(b is the y-intercept value.

To transform this equation to this form we can solve for $y$;

$2 y - 4 x = - 2$

$2 y - 4 x + \textcolor{red}{4 x} = - 2 + \textcolor{red}{4 x}$

$2 y - 0 = \textcolor{red}{4 x} - 2$

$2 y = \textcolor{red}{4 x} - 2$

$\frac{2 y}{\textcolor{red}{2}} = \frac{4 x - 2}{\textcolor{red}{2}}$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{2}}} y}{\cancel{\textcolor{red}{2}}} = \frac{4 x}{\textcolor{red}{2}} - \frac{2}{\textcolor{red}{2}}$

$y = 2 x - 1$