Question

A line passes through the point (-7,6) and has a slope of -2

Answer 1

$\bf (\stackrel{x_1}{-7}~,~\stackrel{y_1}{6})~\hspace{10em} slope = m\implies -2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-6=-2[x-(-7)] \implies y-6=-2(x+7) \\\\\\ y-6=-2x-14\implies y=-2x-8$

Answer 2

y - 6 = -2(x + 7)

y - 6 = -2x - 14

y = -2x - 8       <---------------------equation in  slope intercept form