Calculate the Distance between Two Points on a Coordinate Grid

13 Aug 2023

What is the distance between (-6, 2) and (8, 10) on a coordinate grid?

The distance between (-6, 2) and (8, 10) is 2√65.

The distance formula is used to calculate the distance between two points (x₁, y₁) and (x₂, y₂).

Therefore,

Given:

x₁ = -6

x₂ = 8

y₁ = 2

y₂ = 10

Therefore,

d = √(8-(-6))² + (10-2)²

d = √(14)² + (8)²

d = √196 + 64

d = √260

d = √4 × 65

d = 2√65