Add 3+ 4i and -4+2i graphically

Question

My class got 1+ 2 radical 10 /2 and 1-2 radical 10 /2 . whenever i put this into the y= graph, nothing shows up on the graph. Can someone tell me how to solve this algebraically and graphically?

Answer 1

add the real and imaginary parts separately:

3+4i + -4+2i = (3-4)+(4+2)i = -1 + 6i

on a graph, draw a line 3 units right, 4 units up to (3,4)

From there, draw a line 14 units left and two up to (-1,6)