Find the Distance Between Two Points

Front

What is the formula to find the distance between two points (x1, y1) and (x2, y2)?

Back

Distance = √((x2 - x1)² + (y2 - y1)²)

Front

What does the distance formula represent in a coordinate plane?

Back

It calculates the straight-line distance between two points.

Front

If point A is at (2, 3) and point B is at (5, 7), what is the distance between A and B?

Back

Distance = √((5 - 2)² + (7 - 3)²) = √(9 + 16) = √25 = 5 units.

Front

What is the distance between the points (1, 1) and (4, 5)?

Back

Distance = √((4 - 1)² + (5 - 1)²) = √(9 + 16) = √25 = 5 units.

Front

How does changing the coordinates of a point affect the distance to another point?

Back

Changing the coordinates can increase or decrease the distance depending on the direction and magnitude of the change.

Front

What is the distance between the points (0, 0) and (3, 4)?

Back

Distance = √((3 - 0)² + (4 - 0)²) = √(9 + 16) = √25 = 5 units.

Front

If the distance between two points is 10 units, what could be possible coordinates for these points?

Back

Examples: (0, 0) and (10, 0), or (3, 4) and (3, -6).

Front

What is the significance of the distance formula in real-life applications?

Back

It is used in navigation, architecture, and various fields to determine the shortest path between two locations.

Front

What is the distance between the points (-1, -1) and (2, 2)?

Back

Distance = √((2 - (-1))² + (2 - (-1))²) = √(9 + 9) = √18 = 4.24 units.

Front

What happens to the distance if both points are moved closer together?

Back

The distance decreases.