Solved on Dec 10, 2023

Graph the complex number $-3+i$ .

STEP 1

Assumptions
1. We are working with the complex number $-3+i$ .
2. We will graph this complex number on the complex plane, where the horizontal axis (real axis) represents the real part of the complex number and the vertical axis (imaginary axis) represents the imaginary part.

STEP 2

Identify the real part of the complex number.
The real part of $-3+i$ is $-3$ .

STEP 3

Identify the imaginary part of the complex number.
The imaginary part of $-3+i$ is $1$ (the coefficient of $i$ ).

STEP 4

Plot the complex number on the complex plane.
To graph the complex number $-3+i$ , we locate the point that is $-3$ units along the real axis (to the left of the origin) and $1$ unit along the imaginary axis (above the origin).

STEP 5

Draw the complex plane with a horizontal axis (real axis) and a vertical axis (imaginary axis). Mark the point $(-3, 1)$ on the plane.

STEP 6

Label the point $(-3, 1)$ with the complex number $-3+i$ .
The graph now shows the complex number $-3+i$ plotted on the complex plane.

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Graph the complex number $-3+i$ .

STEP 1

Assumptions
1. We are working with the complex number $-3+i$ .
2. We will graph this complex number on the complex plane, where the horizontal axis (real axis) represents the real part of the complex number and the vertical axis (imaginary axis) represents the imaginary part.

STEP 2

Identify the real part of the complex number.
The real part of $-3+i$ is $-3$ .

STEP 3

Identify the imaginary part of the complex number.
The imaginary part of $-3+i$ is $1$ (the coefficient of $i$ ).

STEP 4

Plot the complex number on the complex plane.
To graph the complex number $-3+i$ , we locate the point that is $-3$ units along the real axis (to the left of the origin) and $1$ unit along the imaginary axis (above the origin).

STEP 5

Draw the complex plane with a horizontal axis (real axis) and a vertical axis (imaginary axis). Mark the point $(-3, 1)$ on the plane.

STEP 6

Label the point $(-3, 1)$ with the complex number $-3+i$ .
The graph now shows the complex number $-3+i$ plotted on the complex plane.

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Graph the complex number −3+i-3+i−3+i.

STEP 1

Assumptions1. We are working with the complex number −3+i-3+i−3+i.2. We will graph this complex number on the complex plane, where the horizontal axis (real axis) represents the real part of the complex number and the vertical axis (imaginary axis) represents the imaginary part.

STEP 2

Identify the real part of the complex number.The real part of −3+i-3+i−3+i is −3-3−3.

STEP 3

Identify the imaginary part of the complex number.The imaginary part of −3+i-3+i−3+i is 111 (the coefficient of iii).

STEP 4

Plot the complex number on the complex plane.To graph the complex number −3+i-3+i−3+i, we locate the point that is −3-3−3 units along the real axis (to the left of the origin) and 111 unit along the imaginary axis (above the origin).

STEP 5

Draw the complex plane with a horizontal axis (real axis) and a vertical axis (imaginary axis). Mark the point (−3,1)(-3, 1)(−3,1) on the plane.

STEP 6

Label the point (−3,1)(-3, 1)(−3,1) with the complex number −3+i-3+i−3+i.The graph now shows the complex number −3+i-3+i−3+i plotted on the complex plane.

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Graph the complex number $-3+i$ .

Assumptions
1. We are working with the complex number $-3+i$ .
2. We will graph this complex number on the complex plane, where the horizontal axis (real axis) represents the real part of the complex number and the vertical axis (imaginary axis) represents the imaginary part.

Identify the real part of the complex number.
The real part of $-3+i$ is $-3$ .

Identify the imaginary part of the complex number.
The imaginary part of $-3+i$ is $1$ (the coefficient of $i$ ).

Plot the complex number on the complex plane.
To graph the complex number $-3+i$ , we locate the point that is $-3$ units along the real axis (to the left of the origin) and $1$ unit along the imaginary axis (above the origin).

Draw the complex plane with a horizontal axis (real axis) and a vertical axis (imaginary axis). Mark the point $(-3, 1)$ on the plane.

Label the point $(-3, 1)$ with the complex number $-3+i$ .
The graph now shows the complex number $-3+i$ plotted on the complex plane.