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Chapter 1: Problem 51

Explain why \((5,-2)\) and \((-2,5)\) do not represent the same point.

Short Answer

Expert verified
The points (5, -2) and (-2, 5) do not represent the same point as their x and y coordinates are differing. On a two-dimensional plane, these coordinates will plot completely different points.

Step by step solution

01

Identifying individual coordinates

First, let's identify the individual coordinates. Here, (5, -2) has x-coordinate as 5 and y-coordinate as -2. Likewise, (-2, 5) has x-coordinate as -2 and y-coordinate as 5.
02

Comparing the coordinates

On comparison of the coordinates, we observe that the x and y coordinates for the pair have been interchanged. This tells us that these are two different positions on the coordinate plane.
03

Visualizing the points on a plane

To understand better, plot these two points on a plane. This will clearly illustrate that the points lie at different locations.

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Most popular questions from this chapter

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