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Chapter 1: Problem 7

Plot the given point in a rectangular coordinate system. $$(4,-1)$$

Short Answer

Expert verified
Point (4,-1) is 4 units to the right of the origin along the x-axis and 1 unit below the origin along the y-axis.

Step by step solution

01

Understand the Cartesian coordinate system

Recognize that a Cartesian coordinate system is divided into four quadrants by the x-axis (horizontal) and y-axis (vertical). Points on this system are represented as (x, y), where x indicates the horizontal distance from the origin (x-axis) and y the vertical distance from the origin (y-axis). Positive x values are to the right of the origin, negative x values are to the left. Positive y values are above the origin, negative y values are below.
02

Interpret the given point

The point provided is (4,-1). Here, 4 is the x-coordinate and -1 is the y-coordinate. This means moving 4 units to the right of the origin along the x-axis (since it is positive) and 1 unit down along y-axis (since it is negative).
03

Plot the point

Start from the origin, move 4 units to the right along the x-axis, then move 1 unit down (along y-axis). This is where the point (4,-1) is located on Cartesian plane. Mark this point with a dot.

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