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Chapter 7: Problem 9

Plot the given point in a rectangular coordinate system. \((-4,0)\)

Short Answer

Expert verified
The point (-4,0) is plotted 4 units to the left of the origin on the x-axis.

Step by step solution

01

Understand the Rectangular Coordinate System

A rectangular coordinate system consists of two perpendicular number lines: the x-axis (horizontal) and the y-axis (vertical). The point at which these two axes intersect is called the origin and it is denoted as (0,0).
02

Identify the Given Coordinates

Our given point is (-4,0). In the rectangular coordinate system, any point is defined by a pair of numbers, where the first number is the x-coordinate and the second number is the y-coordinate. Therefore, for the point (-4,0), -4 is the x-coordinate and 0 is the y-coordinate.
03

Plot the Point on the Rectangular Coordinate System

Start from the origin (0, 0). As our x-coordinate is -4, we need to move 4 units to the left on the x-axis (as its negative). The y-coordinate is 0 so no movement on the y-axis(A downward or upward move) is required. Mark the point where you ended up, which is the point (-4,0).

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Most popular questions from this chapter

Explain how to graph \(2 x-3 y<6\).

Graph the solution set of each system of inequalities. \(\left\\{\begin{array}{l}4 x-5 y \geq-20 \\ x \geq-3\end{array}\right.\)

Graph the solution set of each system of inequalities. \(\left\\{\begin{array}{l}x \leq 3 \\ y>-1\end{array}\right.\)

Write the given sentences as a system of inequalities in two variables. Then graph the system. The sum of the \(x\)-variable and the \(y\)-variable is at most 3 . The \(y\)-variable added to the product of 4 and the \(x\)-variable does not exceed \(6 .\)

Graph the solution set of each system of inequalities. \(\left\\{\begin{array}{l}x+2 y \leq 4 \\ y \geq x-3\end{array}\right.\)
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