Chapter 3 - Introduction to Graphing - 3.7 Point-Slope Form and Equations of Lines - 3.7 Exercise Set - Page 218: 39

$y=2x-6$

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 $ 2 $ and with the given point $\left( 1,-4 \right)$ is \begin{array}{l} y+4=2(x-1) \\\\ y+4=2x-2 \\\\ y=2x-2-4 \\\\ y=2x-6 .\end{array}