Question

Find the slope coordinates for the equation y+3=1/3(x-1)?

Answer 1

$\bf \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}~\hspace{5em}y+3=\cfrac{1}{3}(x-1)\implies y-\stackrel{\stackrel{y_1}{\downarrow }}{(-3)}=\cfrac{1}{3}(x-\stackrel{\stackrel{x_1}{\downarrow }}{1}) \\\\\\ ~\hspace{25em}\begin{array}{|c|ll} \cline{1-1} (x_1,y_1)\\ \cline{1-1} \\ (1~,-3) \\\\ \cline{1-1} \end{array}$