Understand i as a number with i^2=-1 and represent complex numbers as a+bi.
Write the complex number represented by a point on the complex plane
Problem
The point \((3,4)\) lies on the complex plane. Use the horizontal coordinate as \(a\) and the vertical coordinate as \(b\) in \(a+\text{bi}\), then write the represented complex number.
Reading the complex plane reverses the usual plotting map: horizontal becomes the real part and vertical becomes the imaginary coefficient. We’ll read both signed coordinates, substitute them into a plus b times i, and map the expression forward again to check the point.
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