Question

Find the distance between the following points:

A(–6, 4) and B(2, –2)

Answer 1

Given: A(–6, 4) and B(2, –2)

Step-wise calculation:

1. Distance formula: `d = sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2`

2. Substitute coordinates: `d = sqrt((2 - (-6))^2 + (-2 - 4)^2`

3. `d = sqrt(8^2 + (-6)^2`

4. `d = sqrt(64 + 36)`

5. `d = sqrt(100) = 10`

The distance AB = 10 units.