Beginning Algebra With Applications, Chapter 5, 5.2, Section 5.2, Problem 108

Graph $3x-y = 6$ by using $x$- and $y$-intercepts

$x$-intercept:


$
\begin{equation}
\begin{aligned}

3x-y =& 6
&& \text{Given equation}
\\
3x - 0 =& 6
&& \text{To find the $x$-intercept, let } y = 0
\\
3x =& 6
&& \text{Divide by } 3
\\
x =& 2
&&

\end{aligned}
\end{equation}
$


The $x$-intercept is $(2,0)$

$y$-intercept:


$
\begin{equation}
\begin{aligned}

3x-y =& 6
&& \text{Given equation}
\\
3(0)-y =& 6
&& \text{To find the $y$-intercept, let } x=0
\\
-y =& 6
&& \text{Divide by } -1
\\
y =& -6
&&

\end{aligned}
\end{equation}
$



The $y$-intercept is $(0,-6)$

Graph the ordered pairs $(2,0)$ and $(0,-6)$. Draw a straight line through the points.