What is the distance between the points (0, 0) and (0, 5) on a coordinate plane?

What is the distance between the points (0, 0) and (0, 5) on a coordinate plane?

• A. 4
• B. 5
• C. 6
• D. 7

Answer: (B)

Distance between two points on a coordinate plane is found by measuring how far apart they are along the grid. If the two points share the same x-value, the distance is just the vertical difference between their y-values. Here both points lie on x = 0, so the distance is the change from y = 0 to y = 5, which is 5 units. You can confirm with the distance formula: sqrt((0−0)² + (5−0)²) = sqrt(0 + 25) = 5. So the distance is 5. The other numbers would imply moving to y-values 4, 6, or 7 away, which isn’t the case.

Distance between two points on a coordinate plane is found by measuring how far apart they are along the grid. If the two points share the same x-value, the distance is just the vertical difference between their y-values. Here both points lie on x = 0, so the distance is the change from y = 0 to y = 5, which is 5 units. You can confirm with the distance formula: sqrt((0−0)² + (5−0)²) = sqrt(0 + 25) = 5. So the distance is 5. The other numbers would imply moving to y-values 4, 6, or 7 away, which isn’t the case.