# How do you find the slope of 3x+y=7?

Aug 5, 2015

Slope of $3 x + y = 7$ is $- 3$

#### Explanation:

Method 1
The slope of a linear equation in standard form:
$\textcolor{w h i t e}{\text{XXXX}}$$A x + B y = C$
is $- \frac{A}{B}$

Method 2
$3 x + y = 7$ can be converted into slope intercept form:
$\textcolor{w h i t e}{\text{XXXX}}$$y = - 3 x + 7$
where a linear equation in slope-intercept form
$\textcolor{w h i t e}{\text{XXXX}}$$y = m x + b$
$\textcolor{w h i t e}{\text{XXXX}}$$\textcolor{w h i t e}{\text{XXXX}}$has a slope of $m$
$\textcolor{w h i t e}{\text{XXXX}}$$\textcolor{w h i t e}{\text{XXXX}}$and a y-intercept of $b$