Question

I need help with this practice problem solvingI will send you another pic… it is a graph, please use the graph to answer this.

Answer 1

Before we can proceed in graphing the complex number, let's get the sum of the two given complex numbers first.

`(2-3i)+(-1-i)`

When adding complex numbers, simply combine similar terms like real-to-real and complex-to-complex only.

So, we have:

`\begin{gathered} =(2+(-1))+(-3i+(-i)) \\ =(2-1)+(-3i-i)_{} \\ =1+(-4i) \\ =1-4i \end{gathered}`

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.