In the following exercises, plot each point in a rectangular...

In the following exercises, plot each point in a rectangular coordinate system and identify the quadrant in which the point is located.
(@) (-2,-3)
(b) (3,-3)
(c) (-4,1)
(d) (4,-1)
(e) $\left(\frac{3}{2}, 1\right)$

Key Concepts

Ordered Pair

An ordered pair, expressed as (x, y), represents a precise location on the coordinate plane. The first number indicates the horizontal displacement from the origin along the x-axis, while the second number indicates the vertical displacement along the y-axis. Ordered pairs are fundamental for identifying and plotting points in the plane.

Quadrants

The coordinate plane is divided into four quadrants by the x and y axes. Each quadrant is characterized by the signs of the x and y coordinates: Quadrant I has both positive x and y values, Quadrant II has negative x and positive y values, Quadrant III has both x and y values negative, and Quadrant IV has a positive x and negative y values. Understanding quadrants is essential for determining the location and characteristics of points based on their coordinates.

Rectangular Coordinate System

A rectangular coordinate system is a plane defined by two perpendicular number lines called the x-axis (horizontal) and y-axis (vertical). These axes intersect at a point called the origin, which is used as a reference for determining the position of other points. This system forms the basis for graphing equations and analyzing spatial relationships in geometry and algebra.

Plotting Points

Plotting points on a coordinate plane involves using the ordered pair information to locate a point accurately. This process requires moving horizontally according to the x-value and vertically according to the y-value, thereby enabling visual representation and analysis of spatial relationships within the plane.

Transcript

Please give Ace some feedback