# How do you find the conjugate of  5i - 4 ?

Dec 8, 2015

$- 4 - 5 i$

#### Explanation:

To find a complex conjugate, simply change the sign of the imaginary part (the part with the $i$). This means that it either goes from positive to negative or from negative to positive.

As a general rule, the complex conjugate of $a + b i$ is $a - b i$.

Notice that the real part of a complex number comes first. Your number, $5 i - 4$, can be rewritten as $- 4 + 5 i$.

Therefore, the complex conjugate of $- 4 + 5 i$ is $- 4 - 5 i$.