Question

Find an equation in point-slope form for the line having the slope m=-6 and containing the point (7,8)

Answer 1

`(\stackrel{x_1}{7}~,~\stackrel{y_1}{8})\hspace{10em} \stackrel{slope}{m} ~=~ - 6 \\\\\\ \begin{array} \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}{8}=\stackrel{m}{- 6}(x-\stackrel{x_1}{7})`