Chapter 8 - Coordinate Geometry and Linear Systems - 8.4 - Writing Equations of Lines - Problem Set 8.4 - Page 360: 12

$2x+y=-6$

Using $y-y_1=m(x-x_1)$ or the Point-Slope Form, the equation of the line with the given point $( 2,-10 )$ and slope $m= -2 $ is \begin{array}{l}\require{cancel} y-(-10)=-2(x-2) \\\\ y+10=-2x+4 \\\\ 2x+y=4-10 \\\\ 2x+y=-6 .\end{array}