Beginning Algebra With Applications, Chapter 5, 5.2, Section 5.2, Problem 114

Graph $x-2y = -4$ using a graphing device. Verify that the graph has the correct $x-$ and $y$-intercepts.







$x$-intercept:


$\begin{equation} \begin{aligned} x-2y =& -4 && \text{Given equation} \\ x-2(0) =& -4 && \text{To find the $x$-intercept, let } y = 0 \\ x =& -4 && \end{aligned} \end{equation}$


The $x$-intercept is $(-4,0)$

$y$-intercept:


$\begin{equation} \begin{aligned} x-2y =& -4 && \text{Given equation} \\ 0-2y =& -4 && \text{To find the $y$-intercept, let } x=0 \\ -2y =& -4 && \text{Divide by } -2 \\ y =& 2 && \end{aligned} \end{equation}$



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