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 used to locate a point on the coordinate plane, written in the form (x, y).

Front

What does the x-axis represent?

Back

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

Front

What does the y-axis represent?

Back

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

Front

What are the coordinates of the origin?

Back

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

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 significance of the point (0, 0)?

Back

It is called the origin and serves as the reference point for the coordinate plane.

Front

How do you plot the point (3, 4) on the coordinate plane?

Back

Start at the origin (0, 0), move 3 units right (positive x-direction), then move 4 units up (positive y-direction).

Front

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

Back

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