Question

What is the equation of the linear model in point-slope form that includes the point (-3,1) and has a slope of 3?

Answer 1

$(\stackrel{x_1}{-3}~,~\stackrel{y_1}{1})\ \qquad \qquad \stackrel{slope}{m}\implies 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{3}(x-\stackrel{x_1}{(-3)})\implies y-1=3(x+3)$