[tex]\bf (\stackrel{x_1}{\frac{5}{7}}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{-3}~,~\stackrel{y_2}{-1}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-1-0}{-3-\frac{5}{7}}\implies \cfrac{-1}{~~-\frac{26}{7}~~} \\\\\\ \cfrac{\frac{-1}{1}}{~~-\frac{26}{7}~~}\implies \cfrac{-1}{1}\cdot \cfrac{7}{-26}\implies \cfrac{7}{26}[/tex]
[tex]\bf \begin{array}{|c|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-0=\cfrac{7}{26}\left( x-\cfrac{5}{7} \right) \implies y=\cfrac{7}{26}x-\cfrac{5}{26}[/tex]