Chapter 8 - Coordinate Geometry and Linear Systems - 8.4 - Writing Equations of Lines - Problem Set 8.4 - Page 360: 31

$y=-\dfrac{5}{9}x-\dfrac{1}{2}$

Using $y=mx+b$, where $m$ is the slope and $b$ is the $y-$intercept, the equation of the line with the given slope $m= -\dfrac{5}{9} $ and the given $y-$intercept $b= -\dfrac{1}{2} $ is \begin{array}{l}\require{cancel} y=-\dfrac{5}{9}x-\dfrac{1}{2} .\end{array}