[tex]\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ 0}}\quad ,&{{ -2}})\quad
% (c,d)
&({{ 6}}\quad ,&{{ 0}})
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{0-(-2)}{6-0}\implies \cfrac{0+2}{6-0}
\\\\\\
\cfrac{2}{6}\implies \cfrac{1}{3}[/tex]
[tex]\bf \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-(-2)=\cfrac{1}{3}(x-0)
\\\\\\
y+2=\cfrac{1}{3}x\implies y=\cfrac{1}{3}x-2[/tex]
