What is the product of the complex number z1 and it’s conjugate? graph in picture

The product is 25

Step-by-step explanation:

we know that

The complex number z1 is equal to

z1=(-4-3i)

we know that

To find the complex conjugate of (-4 - 3i) we change the sign of the imaginary part

so

The conjugate is equal to (-4+3i)

therefore

Step-by-step explanation:

Notice in the graph that z1 has a real component of -4 and an imaginary component of -3.

Then we know that:

By definition for an imaginary number of the form its conjugate will always be the number

So the conjugate of is:

The product of both numbers is:

y=mx+b

step-by-step explanation:

m slope

b y-intercept