Question

Write an equation in point-slope form of the line having the given slope that contains the given point.

Answer 1

$\bf (\stackrel{x_1}{-2}~,~\stackrel{y_1}{1})~\hspace{10em} \stackrel{slope}{m}\implies -3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{-3}[x-\stackrel{x_1}{(-2)}]\implies y-1=-3(x+2)$