Video: Finding the Imaginary Part of a Complex Number

If 𝑧 = −4 − 6𝑖, what is Im(𝑧)?

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Video Transcript

If 𝑧 is equal to negative four minus six 𝑖, what is the imaginary part of 𝑧?

Any complex number can be expressed in the form 𝑎 plus 𝑏𝑖. 𝑎 is the real part of the complex number, and 𝑏 is the imaginary part. We have been asked to consider the complex number negative four minus six 𝑖. The real part of this complex number 𝑧 is negative four and the imaginary part of the complex number 𝑧 is negative six. We can, therefore, conclude that in the complex number 𝑧 is equal to negative four minus six 𝑖. The imaginary part of 𝑧 is negative six.

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