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.