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Chapter 7: Problem 10

Plot the given point in a rectangular coordinate system. \((-5,0)\)

Short Answer

Expert verified
The point \((-5,0)\) is found on the x-axis, 5 units to the left of origin.

Step by step solution

01

Understanding Coordinate System

In a rectangular coordinate system, there are two axes - the horizontal x-axis and the vertical y-axis. They intersect at a point called the origin, labelled as (0,0). Every point in this system is described by an ordered pair of numbers (x, y).
02

Identifying coordinates

The point given is \((-5,0)\). Here, -5 is the x-coordinate (horizontal movement) and 0 is the y-coordinate (vertical movement). This means one should move 5 units left from the origin (since it's negative) on the x-axis and do not move up or down on the y-axis (since y is 0).
03

Plotting the Point

To plot this point, start at the origin. Move 5 units to the left along the x-axis and stay on the x-axis (don't move up or down) because the y-coordinate is 0. This will allow you to place the point at \((-5, 0)\).

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