If a complex number is represented by the point in the complex plane, what is the complex number? _________.
Answer & Analysis
Analysis
Question Analysis
This problem assesses the ability to convert coordinates in the complex plane back into a complex number.
Key Concept Explanation
In the complex plane, the x-coordinate represents the real part, and the y-coordinate represents the imaginary part of the complex number.
Step-by-step Solution
1. Identify the x-coordinate and the y-coordinate of the point .
2. The x-coordinate is -5, which is the real part.
3. The y-coordinate is 7, which is the coefficient of the imaginary part.
4. Combine these to form the complex number
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