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Question Number 142624 by Engr_Jidda last updated on 03/Jun/21

fine the equation and the corresponding  sketch of graph of the imageof the  straight line joining (−1,−1) and  (2,1) under the transformation equation  w=(2+i)z

$${fine}\:{the}\:{equation}\:{and}\:{the}\:{corresponding} \\ $$$${sketch}\:{of}\:{graph}\:{of}\:{the}\:{imageof}\:{the} \\ $$$${straight}\:{line}\:{joining}\:\left(−\mathrm{1},−\mathrm{1}\right)\:{and} \\ $$$$\left(\mathrm{2},\mathrm{1}\right)\:{under}\:{the}\:{transformation}\:{equation} \\ $$$${w}=\left(\mathrm{2}+{i}\right){z} \\ $$

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