What is the exact distance from (-1, 4) to (6, -2)?

Solution:

Given two points (-1, 4) and (6, -2)

We know that the distance between the two points can be calculated as d

d = √ (x₂ - x₁)² + (y₂ - y₁)²

Here, x₁ = -1 , x₂ = 6 , y₁ = 4 , y₂ = -2

d = √(6 - (-1))² + (-2 - 4)²

d = √(6 + 1)² + (-6)²

d = √7² + 36

d = √49 + 36

d = √85 units

Therefore, the distance between the two points is d = √85 units.

What is the exact distance from (-1, 4) to (6, -2)?

Summary:

The exact distance from (-1, 4) to (6, -2) is √85 units.