Coordinate Plane

Front

What is the definition of an ordered pair in the context of the coordinate plane?

Back

An ordered pair is a pair of numbers used to represent a point on the coordinate plane, typically written in the form (x, y), where x is the horizontal coordinate and y is the vertical coordinate.

Front

What are the four quadrants of the coordinate plane?

Back

The four quadrants are: 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

How do you determine the quadrant of a point given its coordinates?

Back

To determine the quadrant, analyze the signs of the x and y coordinates: if both are positive, it's in Quadrant I; if x is negative and y is positive, it's in Quadrant II; if both are negative, it's in Quadrant III; if x is positive and y is negative, it's in Quadrant IV.

Front

What is the significance of the x-axis and y-axis in the coordinate plane?

Back

The x-axis is the horizontal line that represents the set of all x-coordinates, while the y-axis is the vertical line that represents the set of all y-coordinates. Together, they divide the plane into four quadrants.

Front

What is the coordinate of the origin in the coordinate plane?

Back

The coordinate of the origin is (0, 0), where the x-axis and y-axis intersect.

Front

How can you identify the coordinates of a point on a graph?

Back

To identify the coordinates of a point, locate the point on the graph, then determine its horizontal position (x-coordinate) and vertical position (y-coordinate) relative to the axes.

Front

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

Back

A point is on the x-axis if its y-coordinate is 0, meaning it lies horizontally along the x-axis.

Front

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

Back

A point is on the y-axis if its x-coordinate is 0, meaning it lies vertically along the y-axis.

Front

How do you plot a point given its coordinates?

Back

To plot a point, start at the origin (0, 0), move horizontally to the x-coordinate, and then move vertically to the y-coordinate.

Front

What is the relationship between the coordinates of a point and its location in the quadrants?

Back

The signs of the coordinates determine the quadrant: positive x and y place the point in Quadrant I, negative x and positive y in Quadrant II, negative x and y in Quadrant III, and positive x and negative y in Quadrant IV.