2-5 Distance on the Coordinate Plane

Front

What is the distance formula used to find the distance between two points (x1, y1) and (x2, y2) on a coordinate plane?

Back

Distance = √((x2 - x1)² + (y2 - y1)²)

Front

What is the length of the longest side of a rectangle with vertices at (3, 2), (-2, 2), (-2, -1), (3, -1)?

Back

5 units

Front

How do you find the distance between two points with the same x-coordinate, such as (0, 6) and (0, -4)?

Back

Subtract the y-coordinates: |6 - (-4)| = 10 units.

Front

What is the distance between the points (-3, 5) and (-3, -8)?

Back

13 units

Front

If the distance between two points is 7 and one point is (5, -2), what could be a possible second point?

Back

(-2, -2)

Front

What is the definition of a coordinate plane?

Back

A two-dimensional surface where points are defined by pairs of numbers (x, y).

Front

What are the coordinates of the origin on a coordinate plane?

Back

(0, 0)

Front

How do you calculate the distance between two points with different x and y coordinates?

Back

Use the distance formula: Distance = √((x2 - x1)² + (y2 - y1)²).

Front

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

Back

4 units.

Front

What is the significance of the x-axis and y-axis in a coordinate plane?

Back

They are the horizontal and vertical lines that define the plane and help locate points.