2-5 Distance on the Coordinate Plane

Front

What is a coordinate plane?

Back

A coordinate plane is a two-dimensional surface formed by the intersection of a horizontal line (x-axis) and a vertical line (y-axis). Each point on the plane is defined by an ordered pair (x, y).

Front

How do you find the distance between two points on a coordinate plane?

Back

To find the distance between two points (x1, y1) and (x2, y2), use the formula: Distance = |y2 - y1| for vertical distance or |x2 - x1| for horizontal distance.

Front

What is the distance between the points (0, 6) and (0, -4)?

Back

10 units.

Front

What is the distance between the points (5, 6) and (5, 8)?

Back

2 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 the second point?

Back

(-2, -2) is one possible second point.

Front

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

Back

5 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

What is the formula for calculating the distance between two points in the coordinate plane?

Back

Distance = √((x2 - x1)² + (y2 - y1)²).