The distance, d, of AB is 2√17
How to calculate distance between two coordinates points on a Cartesian coordinates.
A coordinate point refers to a specific location in a two-dimensional space, typically denoted as (x, y). The x value represents the horizontal position on the x-axis, and the (y) value represents the vertical position on the y-axis. These values specify the unique position of a point in a coordinate system.
Given points A(2,-3) and B(4,5)
The distance between the points is found by using the distance formula.
d = √(x₂-x₁)² + (y₂ − y₁)²
where
x₁ = 2, x₂ = 4
y₁ = -3, y₂ = 5
Substitute into d = √(x₂-x₁)² + (y₂ − y₁)²
d = √(4-2)² + (5− (-3))²
= √(2)² + (5 + 3)²
d = √(2)² + (8)²
d = √4 + 64
d = √ [68]
d = 2√17
Therefore, distance d of AB is 2√17