Yes, in a complex plane, the horizontal axis is the real axis, and the vertical axis is the imaginary axis.
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The horizontal axis is the real numbers.
In the Argand diagram (complex plane), numbers on the horizontal axis represent real numbers.
The horizontal number line on a coordinate plane is called the x-axis, and the vertical number line on a coordinate plane is called the y-axis.
On the Cartesian plane the horizontal number line is the x axis.
Cartesian plane