Question

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

Answer 1

Answer:

10 units

Step-by-step 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

Answer:

$d = 10$

Step-by-step explanation:

$d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

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

$d = \sqrt{(-2-6)^2+(4-(-2))^2}$

$d = \sqrt{(-8)^2+(4+2)^2}$

$d = \sqrt{64+(6)^2}$

$d = \sqrt{64+36}$

$d = \sqrt{100}$

$d = 10$