# How do you find the slope and intercept of 5x+y=12?

##### 1 Answer
Aug 21, 2017

See a solution process below:

#### Explanation:

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

$\textcolor{red}{5} x + \textcolor{b l u e}{1} y = \textcolor{g r e e n}{12}$

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

The slope for this line is: $m = - \frac{\textcolor{red}{5}}{\textcolor{b l u e}{1}} = - 5$

The $y$-intercept of an equation in standard form is: $\frac{\textcolor{g r e e n}{C}}{\textcolor{b l u e}{B}}$

The $y$-intercept for this line is: $\frac{\textcolor{g r e e n}{12}}{\textcolor{b l u e}{1}} = 12$ or $\left(0 , 12\right)$