Hey there!!
How do we find the distance between two coordinate points?
In order to find the distance, we use this formula :
[tex]\sqrt{( x2 - x1 )^{2} + (y2-y1)^{2}}[/tex]
The given coordinates :
( -2 , 2 ) and ( 4 , -6 )
x2 = 4 and x1 = -2 ; y2 = -6 and y1 = 2
Now, plug in the values :
[tex]\sqrt{(4-(-2)^{2} + (-6-2)^{2}}[/tex]
[tex]\sqrt{6^{2} + (-8)^{2}}[/tex]
[tex]\sqrt{36 + 64}[/tex]
[tex]\sqrt{100}[/tex]
[tex]=50[/tex]
Hence, the distance is 50 units.
Hope my answer helps!
