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Chapter 3: Problem 96

Explain how to plot a point in the rectangular coordinate system. Give an example with your explanation.

Short Answer

Expert verified
To plot a point in the rectangular coordinate system, start at the origin, move to the right or left along the x-axis as per the x-coordinate value, and then move up or down along the y-axis according to the y-coordinate value. For example, for the point (2,3) you move 2 units to the right along the x-axis and then 3 units up along the y-axis.

Step by step solution

01

Understanding coordinates

Each point in the plane can be identified by an ordered pair of numbers; this is the core idea of the rectangular or Cartesian coordinates system. Each number in the ordered pair is called a coordinate. The first number, or the one that corresponds to the abscissa (x), tells how far and in what direction to move along the x-axis (to the right if positive, to the left if negative). And the second number, or the one that corresponds to the ordinate (y), tells how far and in what direction to move along the y-axis (up if positive, down if negative).
02

Identifying the point's coordinates

The point to be plotted is (2,3). Here, 2 is the x-coordinate and 3 is the y-coordinate.
03

Plotting the point

Begin at the origin, move two units to the right along the x-axis because x-coordinate is positive 2. Now from there, move three units upward along y-axis because y-coordinate is positive 3. The position reached is represented by the point (2,3) in the rectangular coordinate system.

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