Given the linear equation;
[tex]y=-x-6[/tex]To plot the graph of this equation we need to get the corresponding values of x and y at various points;
At x = 0;
[tex]\begin{gathered} y=-0-6 \\ y=-6 \\ (x,y)=(0,-6) \end{gathered}[/tex]At x = -6;
[tex]\begin{gathered} y=-(-6)-6 \\ y=+6-6 \\ y=0 \\ (x,y)=(-6,0) \end{gathered}[/tex]We can then locate this two points on the graph then join with a straight line since it is a linear graph.
Below is the graph of the linear equation given;
