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Chapter 1: Problem 7

Plot the given point in a rectangular coordinate system. $$(4,-1)$$

Short Answer

Expert verified
The point (4,-1) is plotted 4 units to the right along the x-axis and 1 unit down on the y-axis from the origin.

Step by step solution

01

Identify the coordinates

The first step is to identify the x and y coordinates. The point we are given is (4,-1), therefore the x-coordinate is 4 and y-coordinate is -1.
02

Plot the x-coordinate

Start on the origin (0,0), the point where the x and y axis intersect. Move 4 units to the right along the x-axis. This is because we are working with a positive x-coordinate. If the x-coordinate was negative, we would have moved to the left.
03

Plot the y-coordinate

From the x-coordinate plotted, move 1 unit downward. This is because we have a negative y coordinate. If the y-coordinate was positive, this step would involve moving upwards.
04

Mark the point

The final location after these movements on the grid is the point (4, -1). Place a dot here and label it as (4,-1). This is the needed graphical representation of the point on a cartisian coordinate system.

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