Question

What is the distance between (-2,2) and (4,-6) on coordinate plane

Answer 1

Hey there!!

How do we find the distance between two coordinate points?

In order to find the distance, we use this formula :

`\sqrt{( x2 - x1 )^(2) + (y2-y1)^(2)}`

The given coordinates :

( -2 , 2 ) and ( 4 , -6 )

x2 = 4 and x1 = -2 ; y2 = -6 and y1 = 2

Now, plug in the values :

`\sqrt{(4-(-2)^(2) + (-6-2)^(2)}`

`\sqrt{6^(2) + (-8)^(2)}`

`√(36 + 64)`

`√(100)`

`=50`

Hence, the distance is 50 units.

Hope my answer helps!