Word Count : 275

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We are asked to express $$ z = \frac{2}{-4 - i} $$ in standard (algebraic) form and draw an Argand diagram showing $Z$, $\overline{Z}$, and $-Z$. Let's solve this step by step manually. --- Step 1: Rationalize the denominator The denominator is $-4 - i$. To rationalize, multiply numerator and denominator by the complex conjugate of the denominator, which is $-4 + i$: $$ z = \frac{2}{-4 - ___ _________ ________ ______ __________ ________ _______ __________ _____.
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