`-6 + 8i` Plot the complex number and find its absolute value.

The absolute value of a complex number `z = a + b*i` is `|z| = sqrt(a^2 + b^2)` . According to this formula, you need to determine a and b, such that:

`a = -6, b = 8`

`|z| = sqrt((-6)^2 + 8^2)`

`|z| = sqrt(36 + 64)`

`|z| = sqrt 100`

`|z| = 10`

Hence, the distance of the complex number `z = -6 + 8i` from the origin is given by its absolute value `|z| = 10` .

In the Argand diagram, the complex number` z = -6 + 8i` is the point `(-6,8)` or the vector from the origin to the point `(-6,8)` .