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Let's start by identifying the complex numbers \( z_1 \) and \( z_2 \) from the graph and then calculating the distance between them.

### Step 1: Determine the complex numbers \( z_1 \) and \( z_2 \)
- \( z_1 \) is at the coordinate \((2, -6)\), meaning \( z_1 = 2 - 6i \).
- \( z_2 \) is at the coordinate \((-2, 8)\), meaning \( z_2 = -2 + 8i \).

### Step 2: Find the distance between \( z_1 \) and \( z_2 \)
The distance between two complex numbers \( z_1 = a_1 + b_1i \) and \( z_2 = a_2 + b_2i \) is given by the formula:
\[
\text{Distance} = \sqrt{(a_2 - a_1)^2 + (b_2 - b_1)^2}
\]
Substituting the values from \( z_1 = 2 - 6i \) and \( z_2 = -2 + 8i \):

\[
\text{Distance} = \sqrt{(-

Find the complex numbers z₁ and z₂. Then, find the distance between them.

Learn how to find the complex numbers z₁ and z₂ from a graph and calculate the distance between them using the distance formula. This problem covers complex numbers and the distance formula. Suitable for high school students in Grades 10-12.

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