In Exercises 1–12, plot the given point in a rectangular coordinate system. ((7)/(2),-(3)/(2))

Name: Problem 11, Chapter 1: Algebra and Trigonometry
Uploaded: 2020-06-08T00:55:03-08:00
Duration: 1 min 29 s
Channel: Mary Brese
Description: In Exercises 1–12, plot the given point in a rectangular coordinate system. ((7)/(2),-(3)/(2))

step 1 We have the coordinates of a point at 7 halves and negative 3 halves, and we need to plot this p

In Exercises 1–12, plot the given point in a rectangular...

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Key Concepts

Rectangular Coordinate System

A rectangular coordinate system, also known as a Cartesian coordinate system, is a two-dimensional plane defined by two perpendicular number lines: the horizontal (x-axis) and the vertical (y-axis). This system provides a structured framework for locating points using an ordered pair of numbers, which represent distances along the axes from their point of intersection, known as the origin.

Ordered Pair

An ordered pair is a set of two numbers written in a specific order, typically as (x, y), where the first number represents the position on the x-axis and the second represents the position on the y-axis. This notation is essential for pinpointing exact locations on a coordinate plane and is a foundational concept in analytic geometry.

Plotting Points

Plotting points involves marking the location of a point on a coordinate plane based on its ordered pair coordinates. To plot a point, you start at the origin, move horizontally by the value of the x-coordinate (to the right for positive values and to the left for negative values), and then move vertically by the value of the y-coordinate (up for positive values and down for negative values). This visual representation is fundamental in graphing and understanding the spatial relation of points in a plane.

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