Question

(-7,13); slope=-2 in slope intercept form with given point and slope

Answer 1

`(\stackrel{x_1}{-7}~,~\stackrel{y_1}{13})\hspace{10em} \stackrel{slope}{m} ~=~ - 2 \\\\\\ \begin{array}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}{13}=\stackrel{m}{- 2}(x-\stackrel{x_1}{(-7)}) \implies y -13= -2 (x +7) \\\\\\ y-13=-2x-14\implies {\Large \begin{array}{llll} y=-2x-1 \end{array}}`