Coordinate Planes

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), and Quadrant IV (x > 0, y < 0).

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).

Front

What does the x-coordinate represent?

Back

The x-coordinate represents the horizontal position of a point on the coordinate plane.

Front

What does the y-coordinate represent?

Back

The y-coordinate represents the vertical position of a point on the coordinate plane.

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

How do you identify the quadrant of a point (x, y)?

Back

To identify the quadrant, check the signs of x and y: 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 between two points (x1, y1) and (x2, y2)?

Back

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

Front

What is a line segment in a coordinate plane?

Back

A line segment is a part of a line that connects two points on the coordinate plane.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).