# How do you find the slope for 5x-4y=20?

Mar 15, 2018

See a solution process below:

#### Explanation:

This equation is in the 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

$\textcolor{red}{5} x - \textcolor{b l u e}{4} y = \textcolor{g r e e n}{20}$

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

Substituting gives the slope of this equation as:

$m = \frac{- \textcolor{red}{5}}{\textcolor{b l u e}{- 4}} = \frac{5}{4}$