[tex]\displaystyle\\Answer:\ y=\frac{x}{3}-3[/tex]
Step-by-step explanation:
[tex](0,-3)\ \ \ \ \ (6,-1)[/tex]
[tex]\displaystyle\\ Equation\ of\ the\ line\\\\\boxed {\frac{x-x_1}{x_2-x_1} =\frac{y-y_1}{y_2-y_1} }[/tex]
[tex]\displaystyle\\x_1=0\ \ \ \ x_2=6\ \ \ \ \ y_1=-3\ \ \ \ \ y_2=-1\\\\\frac{x-0}{6-0}=\frac{y-(-3)}{-1-(-3)}\\\\\frac{x}{6}=\frac{y+3}{-1+3} \\\\\frac{x}{6} =\frac{y+3}{2} \\\\Multiply\ both\ parts\ of \ the\ equation \ by \ 2:\\\\\frac{x}{3}=y+3\\\\\frac{x}{3}-3=y+3-3\\\\ \frac{x}{3} -3=y \\\\Thus,\\\\y=\frac{x}{3}-3[/tex]
