[tex]\bf \begin{array}{lllll}
&x_1&y_1\\
% (a,b)
&({{ 1}}\quad ,&{{ 4}})\quad
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{5}{6}
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-4=\cfrac{5}{6}(x-1)\implies y-4=\cfrac{5}{6}x-\cfrac{5}{6}
\\\\\\
y=\cfrac{5}{6}x-\cfrac{5}{6}+4\implies y=\cfrac{5}{6}x+\cfrac{19}{6}[/tex]
