# What is the slope of a line parallel to the line 5x+3y=7?

May 3, 2017

See the explanation below:

#### Explanation:

This equation is in Standard Linear 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 is: $\textcolor{red}{5} x + \textcolor{b l u e}{3} y = \textcolor{g r e e n}{7}$

Therefore, the slope is:

$m = - \frac{\textcolor{red}{5}}{\textcolor{b l u e}{3}}$