What mathematical expression can be used to find the distance between the points A(0, 0) and B(0, 5) on a coordinate grid?

To determine the distance between two points on a coordinate grid, we can use the Distance Formula, which is derived from the Pythagorean theorem. The formula is:

D = √((x₂ – x₁)² + (y₂ – y₁)²)

In this case, we have the points A(0, 0) and B(0, 5). Let’s denote these points as follows:

• A has coordinates (x₁, y₁) = (0, 0)
• B has coordinates (x₂, y₂) = (0, 5)

Now, we can substitute these values into the Distance Formula:

D = √((0 – 0)² + (5 – 0)²)

This simplifies to:

D = √(0 + 25)

D = √25

D = 5

Therefore, the distance between the points A(0, 0) and B(0, 5) on a coordinate grid is 5 units.