We have the following function:
[tex]3x+y=-1[/tex]First, We leave the function in the form of the equation of the line y=mx+b.
[tex]y=-3x-1[/tex]Now we pick two random points to replace in the function.
We use x=-2 and x=1 remember, these points can be anything, not necessarily these.
Now we solve x=-2 and x=1
[tex]\begin{gathered} x=-2 \\ y=-3x-1 \\ y=-3(-2)-1 \\ y=6-1 \\ y=5 \end{gathered}[/tex][tex]\begin{gathered} x=1 \\ y=-3(1)-1 \\ y=-3-1 \\ y=-4 \end{gathered}[/tex]The points are:
[tex]\begin{gathered} (-2,5) \\ (1,-4) \end{gathered}[/tex]Second, with these points, we draw a line between these two points, so we can describe the line of the line function.
