Distance Between Points

Front

What is the formula to calculate the distance between two points (x1, y1) and (x2, y2) in a Cartesian plane?

Back

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

Front

When points are in different quadrants, what should you do to find the distance between them?

Back

You should add the absolute values of the differences in their x-coordinates and y-coordinates.

Front

What does the X-Axis represent in a Cartesian coordinate system?

Back

The X-Axis represents the horizontal axis, indicating left or right movement.

Front

What does the Y-Axis represent in a Cartesian coordinate system?

Back

The Y-Axis represents the vertical axis, indicating up or down movement.

Front

How do you find the distance between two points that have the same x-coordinate?

Back

If two points have the same x-coordinate, the distance is the absolute difference between their y-coordinates.

Front

How do you find the distance between two points that have the same y-coordinate?

Back

If two points have the same y-coordinate, the distance is the absolute difference between their x-coordinates.

Front

What is the distance between the points (-9, 8) and (-9, -7)?

Back

The distance is 16 units.

Front

What is the distance between the points (4, 8) and (-9, 8)?

Back

The distance is 13 units.

Front

What is the distance between the points (-3, 5) and (4, 5)?

Back

The distance is 7 units.

Front

What is the significance of absolute values in distance calculations?

Back

Absolute values ensure that distances are non-negative, as distance cannot be negative.