Before we can proceed in graphing the complex number, let's get the sum of the two given complex numbers first.
[tex](2-3i)+(-1-i)[/tex]
When adding complex numbers, simply combine similar terms like real-to-real and complex-to-complex only.
So, we have:
[tex]\begin{gathered} =(2+(-1))+(-3i+(-i)) \\ =(2-1)+(-3i-i)_{} \\ =1+(-4i) \\ =1-4i \end{gathered}[/tex]
Hence, the sum of the two complex numbers is 1 - 4i.
When plotting a complex number in the plane, the real number acts as the x-coordinate and the complex number acts as the y-coordinate.
Hence, the x-coordinate is 1 while the y-coordinate is -4.
Here's the graph of the sum.
