You need to find the absolute value of the complex number, using the formula `|z| = sqrt(a^2+b^2)` , hence, you need to determine a and b.
`a = 4, b = -6.`
Replacing 4 for a and -6 for b in formula of absolute value, yields:
`|z| = sqrt(4^2+(-6)^2)`
`|z| = sqrt(16+36)`
`|z| = sqrt52 => |z| = 2 sqrt 13`
Hence, the distance of the complex number `z = 4 - 6i` from the origin is given by the aboslute value `|z| = 2 sqrt 13` .
The complex number `z = 4 - 6i` is displayed as the point (4,-6) in a coordinate plane, or as a vector from the origin to the point (4,-6).
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