Question

Find the distance between each pair of points.
3) (6, -2), (8, -3)
4) (7,-8), (-8, 2)

Answer 1

3)
`√(5)`

4)
`5√(13)`

Explanation:

distance between two points:

`d = \sqrt{(x_(2)-x_(1))^(2)+ (y_(2)-y_(1))^(2)}`

we have:

3) (6, -2), (8, -3)

`x_(1) = 6`

`y_(1) =-2`

`x_(2) = 8`

`y_(2) =-3`

so we have:

`d =\sqrt{(8-6)^(2)+ (-3-(-2))^(2)}\\\\d =\sqrt{(2)^(2)+ (-1)^(2)}\\\\d = √(4+ 1)\\\\d=√(5)`

4) (7,-8), (-8, 2)

`x_(1) = 7`

`y_(1) =-8`

`x_(2) =-8`

`y_(2) =2`

`d =\sqrt{(-8-7)^(2)+ (2-(-8))^(2)}\\\\d =\sqrt{(-15)^(2)+ (10)^(2)}\\\\d = √(225+ 100)\\\\d=√(325)\\\\d=5√(13)`