Problem 51
Question
Explain why \((5,-2)\) and \((-2,5)\) do not represent the same point.
Step-by-Step Solution
Verified Answer
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.
1Step 1: 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.
2Step 2: 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.
3Step 3: 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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