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(2x + 1) - (4x + 3)Subtracting Binomials then graph

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First, let's subtract the binomials as follows:


\begin{gathered} (2x+1)-(4x+3)\\ \\ =2x+1-4x-3\\ \\ =-2x-2 \end{gathered}

Now, to graph this binomial, let's find two ordered pairs (x, y) that are solutions to the equation:


\begin{gathered} y=-2x-2\\ \\ x=0:\\ \\ y=0-2=-2\\ \\ x=1:\\ \\ y=-2-2=-4 \end{gathered}

Graphing the ordered pairs (0, -2), (1, -4) and the line passing through them, we have:

(2x + 1) - (4x + 3)Subtracting Binomials then graph-example-1
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