Coordinate Plane

Front

What is the coordinate plane?

Back

A two-dimensional surface formed by the intersection of a horizontal number line (x-axis) and a vertical number line (y-axis).

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 is an ordered pair?

Back

A pair of numbers (x, y) that represent a point on the coordinate plane, where 'x' is the horizontal position and 'y' is the vertical position.

Front

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

Back

Determine 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 x-axis?

Back

The horizontal number line in the coordinate plane where y = 0.

Front

What is the y-axis?

Back

The vertical number line in the coordinate plane where x = 0.

Front

What is the origin in the coordinate plane?

Back

The point (0, 0) where the x-axis and y-axis intersect.

Front

How do you plot a point (x, y) on the coordinate plane?

Back

Start at the origin, move 'x' units along the x-axis, then move 'y' units up (if positive) or down (if negative) to locate the point.

Front

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

Back

Distance = √((x2 - x1)² + (y2 - y1)²).

Front

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

Back

The y-coordinate of the point is 0, so it can be represented as (x, 0).