# How do you plot #6-7i# and find its absolute value?

##### 1 Answer

Jul 6, 2017

# |6-7i| = sqrt(85) = 9.219... #

#### Explanation:

Let:

# z = 6-7i #

Then:

# Re(z) =6 #

# Im(z) = -7 #

Thus

We calculate the absolute value, or modulus, of the number as follows:

# |z| = |6-7i| #

# " " = sqrt(6^2+(-7)^2) #

# " " = sqrt(36+49) #

# " " = sqrt(85) #

# " " = 9.219... #