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Chapter 7: Problem 20

Plot the given point in a rectangular coordinate system. \((2.25,-4.25)\)

Short Answer

Expert verified
The point \((2.25, -4.25)\) is located 2.25 units to the right of the y-axis and 4.25 units below the x-axis on a Cartesian coordinate system. The task involves understanding the Cartesian coordinate system and being able to plot a point given its x and y coordinates.

Step by step solution

01

Understand the Cartesian Coordinate System

A Cartesian coordinate system is a system which uses one or more coordinates to uniquely determine the position of a point or other geometric element. It consists of two axes: the x-axis running horizontally, and the y-axis running vertically. The coordinates are always written as \((x, y)\), where 'x' is the distance along the x-axis and 'y' is the distance along the y-axis.
02

Identifying the given coordinates

The point is given with coordinates \((2.25, -4.25)\). Here, 'x' is 2.25, so the point is 2.25 units to the right of the y-axis. 'y' is -4.25, so the point is 4.25 units below the x-axis.
03

Plotting the point on the coordinate system

Start at the origin (where x and y axes intersect) and move 2.25 units to the right and then move 4.25 units downward. Mark this position as point \((2.25,-4.25)\).

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