# How do you find the slope given 3x+y=4?

Mar 20, 2017

See the entire solution process below:

#### Explanation:

This equation is in Standard Form. The standard form of a linear equation is: $\textcolor{red}{A} x + \textcolor{b l u e}{B} y = \textcolor{g r e e n}{C}$

Where, if at all possible, $\textcolor{red}{A}$, $\textcolor{b l u e}{B}$, and $\textcolor{g r e e n}{C}$are integers, and A is non-negative, and, A, B, and C have no common factors other than 1

The slope of an equation in standard form is: $m = - \frac{\textcolor{red}{A}}{\textcolor{b l u e}{B}}$

The equation from the problem is:

$\textcolor{red}{3} x + \textcolor{b l u e}{1} y = \textcolor{g r e e n}{4}$

Therefore the slope of the line represented by this equation is:

$m = - \frac{\textcolor{red}{3}}{\textcolor{b l u e}{1}} = - 3$