Can someone please help me describe this set of points {z ∈ C | Im(z) = 2 Re(z) − 2}
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Originally Posted by Tala Can someone please help me describe this set of points {z ∈ C | Im(z) = 2 Re(z) − 2} That is just the set $\displaystyle \{(x,y)|~y=2x-2\}$.
But how do I draw it in the complex plane?
Originally Posted by Tala But how do I draw it in the complex plane? The same way you graph it in $\displaystyle R^2$. $\displaystyle \text{Re}(z)$ is the $\displaystyle x\text{-axis}$ and $\displaystyle \text{Im}(z)$ is the $\displaystyle y\text{-axis}$. It is a line.
But how do I plot this in Re(z)-2 ?
Originally Posted by Tala But how do I plot this in Re(z)-2 ? Can you plot $\displaystyle y=2x-2~?$ If you can that is the same graph as $\displaystyle \text{Im}(z)=2\text{Re}(z)-2$
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