# How do you find the slope and y-intercept for the line 4x+2y=12?

Oct 9, 2015

Slope: $\left(- 2\right)$

#### Explanation:

Method 1
Given a linear equation in the general standard form
$\textcolor{w h i t e}{\text{XX}} A x + B y = C$
its slope is
$\textcolor{w h i t e}{\text{XX}} \left(- \frac{A}{B}\right)$
In this case
$\textcolor{w h i t e}{\text{XX}} \left(- \frac{4}{2}\right) = \left(- 2\right)$

Method 2
Convert the given equation into slope-intercept form ($y = \textcolor{red}{m} x + b$).
In this case
$\textcolor{w h i t e}{\text{XX}} y = \textcolor{red}{\left(- 2\right)} x + 6$