## Intermediate Algebra (12th Edition)

$m= -\dfrac{1}{2}$
$\bf{\text{Solution Outline:}}$ To find the slope of the given equation, $x+2y=4 ,$ convert to the Slope-Intercept Form. Then use a table of values to graph the line. $\bf{\text{Solution Details:}}$ Using the properties of equality, in the form $y=mx+b,$ the equation above is equivalent to \begin{array}{l}\require{cancel} 2y=-x+4 \\\\ \dfrac{2}{2}y=-\dfrac{1}{2}x+\dfrac{4}{2} \\\\ y=-\dfrac{1}{2}x+2 .\end{array} Using $y=mx+b$ or the Slope-Intercept Form, where $m$ is the slope, then the slope of the equation above is \begin{array}{l}\require{cancel} m= -\dfrac{1}{2} .\end{array} Graph the equation using the table of values below.