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Chapter 1: Problem 2

Plot the given point in a rectangular coordinate system. $$(2,5)$$

Short Answer

Expert verified
The point (2,5) is plotted by moving 2 units to the right and 5 units up from the origin (0,0) in a rectangular Cartesian coordinate system.

Step by step solution

01

Understanding the Coordinate System

In a rectangular Cartesian coordinate system, any point can be defined using two coordinates (x, y). The x-coordinate shows how far to move horizontally (left or right) from the origin (0, 0), whereas the y-coordinate shows how far to move vertically (up or down) from the origin. Positive x and y values indicate right and up movements, while negative values indicate left and down movements.
02

Locating the X-coordinate

The x-coordinate of the given point is 2. It means we move 2 units to the right from the origin.
03

Locating the Y-coordinate

Then we find the y-coordinate, which is 5. This means we move up 5 units from the point we reached after moving along the x axis.
04

Marking the Point

After moving right 2 units and up 5 units from the origin, we mark this position as point (2,5). This is the representation of the given point in a rectangular Cartesian coordinate system.

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