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). It is used to locate points using ordered pairs (x, y).

Front

What are the four quadrants of a coordinate plane?

Back

The four quadrants are: Quadrant I (x > 0, y > 0), Quadrant II (x < 0, y > 0), Quadrant III (x < 0, y < 0), Quadrant IV (x > 0, y < 0).

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to locate a point on the coordinate plane, written in the form (x, y).

Front

In which quadrant is the point (-3, 12) located?

Back

Quadrant II.

Front

In which quadrant is the point (2, 5) located?

Back

Quadrant I.

Front

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

Back

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

Front

Calculate the distance between the points (1, 2) and (4, 6).

Back

The distance is 5.

Front

What does the x-axis represent in a coordinate plane?

Back

The x-axis represents the horizontal line where the y-coordinate is zero.

Front

What does the y-axis represent in a coordinate plane?

Back

The y-axis represents the vertical line where the x-coordinate is zero.

Front

Where is the point (0, 2) located?

Back

On the y-axis, 2 units above the origin.