Distance Between Ordered Pairs

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to represent a point in a two-dimensional space, written in the form (x, y), where x is the horizontal coordinate and y is the vertical coordinate.

Front

How do you identify the x-coordinate in an ordered pair?

Back

In an ordered pair (x, y), the x-coordinate is the first number, which indicates the position along the horizontal axis.

Front

How do you identify the y-coordinate in an ordered pair?

Back

In an ordered pair (x, y), the y-coordinate is the second number, which indicates the position along the vertical axis.

Front

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

Back

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

Front

What is the distance between the ordered pairs (5, 2) and (5, -3)?

Back

The distance is 5 units.

Front

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

Back

The distance is 5 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.

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.

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.