The equation of the line to be graphed is
[tex]x-2y=6[/tex]To find 3 points of the line, we need to set 3 different values of x, as shown below.
[tex]\begin{gathered} x=0 \\ \Rightarrow(0)-2y=6 \\ \Rightarrow-2y=6 \\ \Rightarrow y=-\frac{6}{2}=-3 \\ \Rightarrow(0,-3) \\ x=1 \\ \Rightarrow1-2y=6 \\ \Rightarrow-2y=5 \\ \Rightarrow y=-\frac{5}{2} \\ \Rightarrow(1,-\frac{5}{2}) \\ x=-1 \\ \Rightarrow-1-2y=6 \\ \Rightarrow-2y=7 \\ \Rightarrow y=-\frac{7}{2} \\ \Rightarrow(-1,-\frac{7}{2}) \end{gathered}[/tex]We need to draw those three points on the plane and, then, a line that crosses them, like in the following image
