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 ordered pairs (x, y).

Front

What are ordered pairs?

Back

Ordered pairs are pairs of numbers used to represent a point on the coordinate plane, written in the form (x, y), where 'x' is the horizontal position and 'y' is the vertical position.

Front

What is the distance formula?

Back

The distance formula is used to calculate the distance between two points (x1, y1) and (x2, y2) on the coordinate plane: Distance = √((x2 - x1)² + (y2 - y1)²).

Front

In which quadrant is the point (3, -4)?

Back

Quadrant IV.

Front

In which quadrant is the point (-5, 2)?

Back

Quadrant II.

Front

What are the coordinates of the origin?

Back

The coordinates of the origin are (0, 0).

Front

What is the x-axis?

Back

The x-axis is the horizontal line on the coordinate plane where the y-coordinate is zero.

Front

What is the y-axis?

Back

The y-axis is the vertical line on the coordinate plane where the x-coordinate is zero.

Front

How do you find the distance between the points (1, 2) and (4, 6)?

Back

Distance = √((4 - 1)² + (6 - 2)²) = √(9 + 16) = √25 = 5.

Front

What is the significance of Quadrant I?

Back

Quadrant I is where both x and y coordinates are positive, indicating points in the upper right section of the coordinate plane.