Distance in the Coordinate Plane

Front

What is the distance formula in the coordinate plane?

Back

The distance formula is d = √((x2 - x1)² + (y2 - y1)²), which calculates the distance between two points (x1, y1) and (x2, y2).

Front

How do you find the distance between two points on a vertical line?

Back

To find the distance between two points on a vertical line, subtract the y-coordinates and take the absolute value: |y2 - y1|.

Front

How do you find the distance between two points on a horizontal line?

Back

To find the distance between two points on a horizontal line, subtract the x-coordinates and take the absolute value: |x2 - x1|.

Front

What is the distance between the points (2, 3) and (2, 7)?

Back

The distance is 4 units.

Front

What is the distance between the points (4, -1) and (4, 2)?

Back

The distance is 3 units.

Front

What is the distance between the points (0, 0) and (0, 10)?

Back

The distance is 10 units.

Front

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

Back

The distance is 3 units.

Front

What is the distance between the points (3, 5) and (3, 5)?

Back

The distance is 0 units.

Front

What does it mean if two points have the same x-coordinate?

Back

If two points have the same x-coordinate, they lie on a vertical line.

Front

What does it mean if two points have the same y-coordinate?

Back

If two points have the same y-coordinate, they lie on a horizontal line.