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

To find the distance between two points in a two-dimensional space, we use the distance formula, which is derived from the Pythagorean theorem. The formula is given by:

d = √((x₂ – x₁)² + (y₂ – y₁)²)

In this case, we have two points: (5, 0) and (4, 1). Here:

• (x₁, y₁) = (5, 0)
• (x₂, y₂) = (4, 1)

Now, substituting these values into the distance formula:

1. Calculate the difference in x-coordinates: 4 – 5 = -1
2. Calculate the difference in y-coordinates: 1 – 0 = 1
3. Now, square these differences:
• (-1)² = 1
• (1)² = 1
4. Add them together: 1 + 1 = 2
5. Finally, take the square root: √2

Therefore, the distance between the points (5, 0) and (4, 1) is √2, which is approximately 1.41.