Coordinate Plane

Front

What is the coordinate plane?

Back

A two-dimensional surface formed by the intersection of a horizontal line (x-axis) and a vertical line (y-axis), used to locate points using ordered pairs.

Front

What are the four quadrants of the coordinate plane?

Back

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 does the x-axis represent?

Back

The horizontal axis in the coordinate plane, where the y-coordinate is zero.

Front

What does the y-axis represent?

Back

The vertical axis in the coordinate plane, where the x-coordinate is zero.

Front

How do you identify the quadrant of a point?

Back

By examining the signs of the x and y coordinates: (+,+) for Quadrant I, (-,+) for Quadrant II, (-,-) for Quadrant III, and (+,-) for Quadrant IV.

Front

What is an ordered pair?

Back

A pair of numbers (x, y) that represent a point's position on the coordinate plane.

Front

How do you plot the point (3, 2)?

Back

Start at the origin (0,0), move right 3 units (x-coordinate), then move up 2 units (y-coordinate).

Front

What is the origin in the coordinate plane?

Back

The point where the x-axis and y-axis intersect, represented by the ordered pair (0, 0).

Front

What is the distance between the points (1, 2) and (1, 5)?

Back

The distance is 3 units, as they share the same x-coordinate.

Front

What is the slope of a line?

Back

The ratio of the rise (change in y) to the run (change in x) between two points on the line.