# What is the slope of the line represented by the equation 4x + 8y = 4?

Feb 11, 2017

The slope is $\textcolor{red}{m = - \frac{1}{2}}$

#### Explanation:

To find the slope we can transform this line into the slope-intercept form. 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 $\textcolor{b l u e}{b}$ is the y-intercept value.

Solving for $y$ gives:

$4 x + 8 y = 4$

$\textcolor{red}{- 4 x} + 4 x + 8 y = \textcolor{red}{- 4 x} + 4$

$0 + 8 y = \textcolor{red}{- 4 x} + 4$

$8 y = - 4 x + 4$

$\frac{8 y}{\textcolor{red}{8}} = \frac{- 4 x + 4}{\textcolor{red}{8}}$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{8}}} y}{\cancel{\textcolor{red}{8}}} = \frac{- 4 x}{\textcolor{red}{8}} + \frac{4}{\textcolor{red}{8}}$

$y = \textcolor{red}{- \frac{1}{2}} x + \textcolor{b l u e}{\frac{1}{2}}$