Question

In which quadrant does the graph of the sum of (-3 -5i) and (2+4i) lie?

Answer 1

Let's first do the addition:

Explanation:

`(-3-5i)+(2+4i)=`
now gather the real and imaginary parts:
`(-3+2)+(-5i+4i)=`
`-1-i`

Since both the real and the imaginary part of the result are negative, it lies in the `III`th quadrant (the bottom-left quadrant)

Remember:
`I=++`
`II=-+`
`III=--`
`IV=+ -`