Question

Find the distance between the pair of points.

(-6, -23) and (-23. - 24)
The distance is
(Round to the nearest thousandth as needed.)

Answer 1

Distance is
`√(290)` units

Explanation:

Use the distance formula which is
`d=√((x_2-x_1)^2+(y_2-y_1)^2)` where
`d` is the distance between points
`(x_1,y_1)` and
`(x_2,y_2)`

We are given that
`(x_1,y_1)` is
`(-6,-23)` and
`(x_2,y_2)` is
`(-23,-24)`, therefore the distance between the two points is:

`d=√((x_2-x_1)^2+(y_2-y_1)^2)`

`d=√((-23-(-6))^2+(-24-(-23))^2)`

`d=√((-23+6))^2+(-24+23))^2)`

`d=√((-17)^2+(-1)^2)`

`d=√(289+1)`

`d=√(290)`

Therefore, the distance between
`(-6,-23)` and
`(-23,-24)` is
`√(290)` units.