Find the distance between the points (-5, 0) and (-4, 1).

Solution:

Given points (-5, 0) and (-4, 1).

Here x₁ = -5, x₂ = -4, y₁ = 0, y₂ = 1

We know that the distance between two points is given as d

d = √(x₂ - x₁)² + (y₂ - y₁)²

d = √(-4 - (-5))² + (1 - 0)²

d = √(-4 + 5)² + (1²)

d = √1² + 1²

d = √1 + 1

d =√2

Therefore, the distance between the two given points is √2 units.

Find the distance between the points (-5, 0) and (-4, 1).

Summary:

The distance between the points (-5, 0) and (-4, 1) is √2 units.