Question

Find an equation of the line described below. Write the equation in slope-intercept form (solved for y), when

possible.
Through (6,3) and (3,6)
What is the equation of the line?
(Simplify your answer.)
4

Answer 1

`(\stackrel{x_1}{6}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{6}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{3}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{6}}} \implies \cfrac{ 3 }{ -3 }\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}{3}=\stackrel{m}{-1}(x-\stackrel{x_1}{6}) \\\\\\ y-3=-x+6\implies {\Large \begin{array}{llll} y=-x+9 \end{array}}`