Chapter 3 - Introduction to Graphing - 3.7 Point-Slope Form and Equations of Lines - 3.7 Exercise Set - Page 218: 45

$y=\dfrac{2}{7}x-6$

Using $y-y_1=m(x-x_1)$ or the Point-Slope form where $m$ is the slope and $(x_1,y_1)$ is a point on the line, then the equation of the line with the given slope equal to $ \dfrac{2}{7} $ and with the given point $\left( 0,-6 \right)$ is \begin{array}{l} y-(-6)=\dfrac{2}{7}(x-0) \\\\ y+6=\dfrac{2}{7}x \\\\ y=\dfrac{2}{7}x-6 .\end{array}