Question

What is the distance, in units, between the points (5,2) and (-3,6) in the standard (x,y) coordinate plane?

Answer 1

`d=√(80)\ units`

Explanation:

Distance In The XY Plane

Given two points in the plane (a,b) and (c,d), the distance between them is computed by

`d=√((c-a)^2+(d-b)^2)`

The points are (5,2) and (-3,6), so a=5, b=2, c=-3, d=6

`d=√((-3-5)^2+(6-2)^2)`

`d=√((-8)^2+(4)^2)`

`d=√(64+16)`

`d=√(80)\ units`