# Question #c5ba5

Mar 31, 2017

Find the x and y intercepts and draw a line through them.

#### Explanation:

If you have the equation of a line in standard form $a x + b y = c$, then
you can find the $x \mathmr{and} y$-intercepts really easily.

To find the $x$-intercept, make $\textcolor{red}{y = 0}$

$x - \textcolor{red}{y} = 8$
$x - \textcolor{red}{0} = 8 \text{ } \leftarrow$ solve for $x$
$x = 8 \text{ } \leftarrow$ this is the $x$-intercept

To find the $y$-intercept, make $\textcolor{b l u e}{x = 0}$

$\textcolor{b l u e}{x} - y = 8$

$\textcolor{b l u e}{0} - y = 8 \text{ } \leftarrow$ solve for $y$
$- y = 8$

$y = - 8 \text{ } \leftarrow$ this is the $y$-intercept
graph{x-y=8 [-16.79, 23.21, -16.56, 3.44]}