First, let's subtract the binomials as follows:
[tex]\begin{gathered} (2x+1)-(4x+3)\\ \\ =2x+1-4x-3\\ \\ =-2x-2 \end{gathered}[/tex]Now, to graph this binomial, let's find two ordered pairs (x, y) that are solutions to the equation:
[tex]\begin{gathered} y=-2x-2\\ \\ x=0:\\ \\ y=0-2=-2\\ \\ x=1:\\ \\ y=-2-2=-4 \end{gathered}[/tex]Graphing the ordered pairs (0, -2), (1, -4) and the line passing through them, we have:
