Question

A line has a slope of -1 and passes through the point (3, -8) what is its equation in slope-intercept from?

Answer 1

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