Answer
please see graph
.
Work Step by Step
See p. 602, Graphing Complex Numbers
The complex plane is determined by the real axis and the imaginary axis.
To graph the complex number a + bi, we plot the ordered pair of numbers (a,b) in this plane.
-------------
$z_{1}=-1+i$,
plot ($-1,1)$
$z_{2}=2-3i$,
plot ($2,-3)$
$z_{1}+z_{2}=-1+i+(2-3i)=1-2i,$
plot ($1,-2)$
$z_{1}z_{2}=(-1+i)(2-3i)$ = ... FOIL, $i^{2}=-1$
$=-2+3i+2i-3(-1) =$
= $1+5i$,
plot ($1,5)$
