Question

Find the distance between each pair of points (-4, 6) and (3, -7)

Answer 1

`\huge\boxed{√(218)}`

The distance formula is
`\sqrt{(x_2 - x_1)^(2) + (y_2 - y_1)^(2)}`, where
`(x_1, y_1)` and
`(x_2, y_2)` are the points.

Substitute in the values.
`\sqrt{(3 - (-4))^(2) + (-7 - 6)^(2)}`

Simplify the negative subtraction.
`\sqrt{(3 + 4)^(2) + (-7 - 6)^(2)}`

Add and subtract.
`\sqrt{7^(2) + (-13)^(2)}`

Solve the exponents.
`\boxed{√(218)}`

The square root of
`218` cannot be simplified.