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 pairs of numbers called coordinates.

Front

What are coordinates?

Back

Coordinates are a set of values that show an exact position on a coordinate plane, usually written as (x, y). The first number represents the position on the x-axis, and the second number represents the position on the y-axis.

Front

What does the x-axis represent?

Back

The x-axis is the horizontal line on a coordinate plane where the y-coordinate is zero. It is used to measure the horizontal position of points.

Front

What does the y-axis represent?

Back

The y-axis is the vertical line on a coordinate plane where the x-coordinate is zero. It is used to measure the vertical position of points.

Front

What are the four quadrants of a coordinate plane?

Back

The four quadrants are: Quadrant I (x positive, y positive), Quadrant II (x negative, y positive), Quadrant III (x negative, y negative), Quadrant IV (x positive, y negative).

Front

How do you plot a point on a coordinate plane?

Back

To plot a point, start at the origin (0,0), move along the x-axis to the x-coordinate, and then move vertically to the y-coordinate.

Front

What is the origin in a coordinate plane?

Back

The origin is the point where the x-axis and y-axis intersect, represented by the coordinates (0, 0).

Front

What are positive and negative coordinates?

Back

Positive coordinates are found in Quadrants I and IV, where x or y values are greater than zero. Negative coordinates are found in Quadrants II and III, where x or y values are less than zero.

Front

What is the distance between two points on a coordinate plane?

Back

The distance between two points (x1, y1) and (x2, y2) can be calculated using the distance formula: √((x2 - x1)² + (y2 - y1)²).

Front

What is a vertical line on a coordinate plane?

Back

A vertical line is a line that goes up and down on the coordinate plane and has the same x-coordinate for all points on the line.