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 the axes in a coordinate plane?

Back

The axes are the two perpendicular lines that define the coordinate plane: the horizontal line is called the x-axis, and the vertical line is called the y-axis.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to locate a point on the coordinate plane, written in the form (x, y).

Front

How do you graph the point (6, 10) on the coordinate plane?

Back

Start at the origin (0, 0). Move 6 units to the right along the x-axis and then 10 units up along the y-axis.

Front

What does the first number in an ordered pair represent?

Back

The first number in an ordered pair represents the x-coordinate, which indicates the horizontal position on the coordinate plane.

Front

What does the second number in an ordered pair represent?

Back

The second number in an ordered pair represents the y-coordinate, which indicates the vertical position on the coordinate plane.

Front

What quadrant is the point (6, 10) located in?

Back

The point (6, 10) is located in Quadrant I, where both x and y coordinates are positive.

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 ordered pair (0, 0).

Front

How do you graph the point (6, 2) on the coordinate plane?

Back

Start at the origin (0, 0). Move 6 units to the right along the x-axis and then 2 units up along the y-axis.

Front

What is the distance from the origin to the point (5, 9)?

Back

The distance can be calculated using the Pythagorean theorem: √(5^2 + 9^2) = √(25 + 81) = √106.