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 the ordered pair (x, y), which number represents the x-coordinate?

Back

The first number, x, represents the x-coordinate.

Front

In the ordered pair (x, y), which number represents the y-coordinate?

Back

The second number, y, represents the y-coordinate.

Front

What is the significance of the origin in a coordinate plane?

Back

The origin is the point (0, 0) where the x-axis and y-axis intersect. It serves as the reference point for all other points on the plane.

Front

How do you determine which quadrant a point is in?

Back

To determine the quadrant, look at the signs of the x and y coordinates: Quadrant I (both positive), Quadrant II (x negative, y positive), Quadrant III (both negative), Quadrant IV (x positive, y negative).

Front

What is the distance formula for points on a coordinate plane?

Back

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

Front

What does it mean for a point to be on the x-axis?

Back

A point is on the x-axis if its y-coordinate is 0, represented as (x, 0).

Front

What does it mean for a point to be on the y-axis?

Back

A point is on the y-axis if its x-coordinate is 0, represented as (0, y).