Calculate the Distance between Two Points on a Coordinate Grid
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,
- d = √(x₂ - x₁)² + (y₂ - y₁)²
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