Finding the Distance Between Two Points

Front

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

Back

The distance formula is: d = √((x2 - x1)² + (y2 - y1)²)

Front

Calculate the distance between the points (1, 2) and (4, 6).

Back

The distance is 5.

Front

What does the distance formula represent in a coordinate plane?

Back

It represents the straight line distance between two points.

Front

Find the distance between the points (-3, -11) and (8, -42).

Back

The distance is 32.9.

Front

What is the distance between the points (3, 24) and (7, 56)?

Back

The distance is 32.2.

Front

If the coordinates of two points are the same, what is the distance between them?

Back

The distance is 0.

Front

What is the distance between the points (2, -75) and (10, 235)?

Back

The distance is 310.1.

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 significance of the square root in the distance formula?

Back

The square root ensures that the distance is a non-negative value.

Front

Find the distance between the points (0, 0) and (3, 4).

Back

The distance is 5.