The product 2+bi)(3+2i) is equal to 13i. What is the value b?

Step-by-step explanation:

We are given that:

And we want to determine the value of b.

First, expand:

Therefore, we can write that:

If two complex numbers are equivalent, their real and imaginary parts must be equivalent. Hence:

Solve for each case:

The two solutions are equivalent, hence such a number b exists.

In conclusion, b = 3.

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )