Which expression represents the distance between the points A(0, 0) and B(0, 5) on a coordinate grid?

To find the distance between two points on a coordinate grid, we can use the distance formula, which is given by:

Distance = √((x₂ – x₁)² + (y₂ – y₁)²)

In this case, the coordinates of point A are (0, 0) and the coordinates of point B are (0, 5). Thus:

• x₁ = 0
• y₁ = 0
• x₂ = 0
• y₂ = 5

Now, let’s plug these values into the distance formula:

Distance = √((0 – 0)² + (5 – 0)²)

This simplifies to:

Distance = √(0 + 25) = √25 = 5

Therefore, the distance between the points A(0, 0) and B(0, 5) is 5 units. We can also see that since both points have the same x-coordinate, they lie on a vertical line. The distance is simply the difference in their y-coordinates, which is 5 – 0 = 5.