# How do you write 4x+2y=0 into slope intercept form?

Aug 7, 2015

$y = \textcolor{red}{\left(- 2\right)} x + \textcolor{b l u e}{0}$ with a slope of $\textcolor{red}{\left(- 2\right)}$ and a y-intercept of $\textcolor{b l u e}{0}$

#### Explanation:

The general slope-intercept form is:
$\textcolor{w h i t e}{\text{XXXX}}$$y = m x + b$

$4 x + 2 y = 0$ can be converted into this form fairly simply:

Subtract $4 x$ from both sides
$\textcolor{w h i t e}{\text{XXXX}}$$2 y = - 4 x$

Divide both sides by 2
$\textcolor{w h i t e}{\text{XXXX}}$$y = \left(- 2\right) x$

To be explicit in our slope-intercept form we still need to specify "$b$"
$\textcolor{w h i t e}{\text{XXXX}}$$y = \left(- 2\right) x + 0$