Match each term with its definition. (a) x -axis (i) point...

Match each term with its definition. (a) $ x $-axis (i) point of intersection of vertical axis and horizontal axis (b) $ y $-axis (ii) directed distance from the $ x $-axis (c) origin (iii) directed distance from the $ y $-axis (d) quadrants (iv) four regions of the coordinate plane (e) $ x $-coordinate (v) horizontal real number line (f) $ y $-coordinate (vi) vertical real number line

Match each term with its definition.
(a) $ x $-axis (i) point of intersection of vertical axis and horizontal axis
(b) $ y $-axis (ii) directed distance from the $ x $-axis
(c) origin (iii) directed distance from the $ y $-axis
(d) quadrants (iv) four regions of the coordinate plane
(e) $ x $-coordinate (v) horizontal real number line
(f) $ y $-coordinate (vi) vertical real number line

Key Concepts

y-coordinate

The y-coordinate is the vertical distance from the x-axis to a given point in the coordinate plane. It shows how far up or down the point is located relative to the origin.

quadrants

Quadrants refer to the four regions created when the x-axis and y-axis intersect. Each quadrant is defined by the sign (positive or negative) of the x- and y-coordinates, helping to distinguish the different sections of the plane.

origin

The origin is the point at which the x-axis and y-axis intersect, typically represented as (0, 0). It acts as the central reference point from which all other points are measured.

x-coordinate

The x-coordinate is the horizontal distance from the y-axis to a given point in the coordinate plane. It indicates how far left or right the point is relative to the origin.

x-axis

The x-axis is the horizontal line in the Cartesian coordinate plane. It represents all the points that have a y-coordinate of zero and is used to measure horizontal distances from the origin.

Cartesian Coordinate System

A system used to locate points on a plane by assigning two numerical coordinates. Each point is defined by an ordered pair (x, y), which specifies its horizontal and vertical displacement from a fixed reference point.

y-axis

The y-axis is the vertical line in the Cartesian coordinate plane. It consists of all points with an x-coordinate of zero and is used to determine vertical distances from the origin.

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