Question

A complex number$z=a+bi$ has two parts:a is the______ part, and is the ________part. To graph$a+bi$ , we graph the ordered pair (__,__) in the complex plane

Short answer

real, imaginary and $(a,b)$

Step-by-step solution

Step 1. Given information

The equation of complex number is given as $z=a+bi$

Step 2. Concept used

A complex number is combination of two numbers, one is real and other one is imaginary. It represents a point on the complex plane. All real numbers lie on x axis and all imaginary numbers lie on y axis.

Step 3. Calculation

The standard form of a complex number is$z=a+bi$ , where a is the real part and b is the imaginary part.

To graph the complex number$a+bi$ , we plot the ordered pair of numbers$(a,b)$ in the plane.