Question

What is the distance between the two points A(6,-2) and B(-2,4)

Answer 1

10 units

Explanation:

( x1, y1) =A(6,-2)

(x2, y2) =B(-2,4)

Using distance formula,

AB ^2 = (x2-x1) ^2 +(y2-y1) ^2

=(-2-6)^2 +(4+2)^2

=64+36

=100

Therefore, AB=10 units

Answer 2

`d = 10`

Explanation:

`d = √((x_2-x_1)^2+(y_2-y_1)^2)`

Simply plug in the 2 coordinates into the distance formula to find distance d:

`d = √((-2-6)^2+(4-(-2))^2)`

`d = √((-8)^2+(4+2)^2)`

`d = √(64+(6)^2)`

`d = √(64+36)`

`d = √(100)`

`d = 10`