Question

The distance between AB

Answer 1

`\text{AB} = 2\sqrt5`

Explanation:

As the question implies, we should use the formula for finding the distance between two points on the plane.
We are given the points A(-1, 2) and B(1, -2).
Therefore,
`x_1 = -1`,
`y_1 = 2`,
`x_2 = 1` and
`y_2 = -2`.

Substituting into the formula

`d = √((x_2 - x_1)^2 + (y_2 - y_1)^2) \\ \\\to d = √((1 - (-1))^2 + (-2 - 2)^2) \\ \\\to d = √(2^2 + (-4)^2) \\ \\\to d = √(4 + 16) \\ \\\to d = √(20) = 2\sqrt5`