Question

Write an equation in point-slope form of the line that passes through the given point and has the given slope. (3,5);m=-1

Answer 1

`\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{5})~\hspace{10em} slope = m\implies -1 \\\\\\ \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-5=-1(x-3) \\\\\\ y-5=-x+3\implies y=-x+8`