Distance Between Ordered Pairs

Front

What is the distance formula for finding the distance between two ordered pairs (x1, y1) and (x2, y2)?

Back

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

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to represent a point in a coordinate system, written as (x, y).

Front

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

Back

If two points are on the same vertical line, the distance is the absolute difference of their y-coordinates: |y2 - y1|.

Front

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

Back

If two points are on the same horizontal line, the distance is the absolute difference of their x-coordinates: |x2 - x1|.

Front

What is the distance between the ordered pairs (0,5) and (0,-5)?

Back

10 units.

Front

What is the distance between the ordered pairs (6,3) and (-5,3)?

Back

11 units.

Front

What is the distance between the ordered pairs (4,1) and (4,7)?

Back

6 units.

Front

What does the x-coordinate represent in an ordered pair?

Back

The x-coordinate represents the horizontal position of a point on the coordinate plane.

Front

What does the y-coordinate represent in an ordered pair?

Back

The y-coordinate represents the vertical position of a point on the coordinate plane.

Front

Identify the ordered pair that represents point T: (-4,1), (-4,2), (1,-4), (4,1).

Back

(-4,1).