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 :

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

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

$\sqrt{36 + 64}$

$\sqrt{100}$

$=50$

Hence, the distance is 50 units.

Hope my answer helps!