Question

Find the distance between the pair of points.. (-6, -5), (7, -8)

Answer 1

`√(178)` units

Explanation:

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

`d=√((y_2-y_1)^2+(x_2-x_1)^2)`

`d=√((-8-(-5))^2+(7-(-6))^2)`

`d=√((-8+5)^2+(7+6)^2)`

`d=√((-3)^2+(13)^2)`

`d=√(9+169)`

`d=√(178)`

Therefore, the distance between
`(-6,-5)` and
`(7,-8)` is
`√(178)` units.