Perform the indicated arithmetic operations for complex numbers z = −4 + 5i and w = −1 − 2i.
a. z + w
b. z − w
c. z + 2w
d. z − z
e. explain how you ad and subtract complex numbers.

(a) 3i-5

(b) 3+7i

(c) -6+i

(d) 0

Step-by-step explanation:

We have given two complex numbers z = -4 + 5 i  and w = -1 - 2 i

We have to perform following operation

(a)

(b)

(c)

(d)

(e) There is no other method for doing addition and subtraction of complex number it is similar as like real number

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17