Question

Find the distance from (-3,-1) to (2, 11).

Answer 1

13

Explanation:

Use the distance formula to find the distance between points

`(x_1, y_1)` and
`(x_2, y_2)`.

Distance formula:

`distance = √((x_2 - x_1)^2 + (y_2 - y_1)^2)`

We have
`x_1 = -3, y_1 = -1, x_2 = 2, y_2 = 11`.

`distance = √((2 - (-3))^2 + (11 - (-1))^2)`

`distance = √((2 + 3)^2 + (11 + 1)^2)`

`distance = √(5^2 + 12^2)`

`distance = √(25 + 144)`

`distance = √(169)`

`distance = 13`