Chapter 8 - Coordinate Geometry and Linear Systems - 8.4 - Writing Equations of Lines - Problem Set 8.4 - Page 360: 28

$y=-\dfrac{5}{7}x-1$

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}{7} $ and the given $y-$intercept $b= -1 $ is \begin{array}{l}\require{cancel} y=-\dfrac{5}{7}x-1 .\end{array}