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Chapter 7: 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 of the y-axis and 1 unit below the x-axis.

Step by step solution

01

Understand the coordinates

The first number 4 is the x-coordinate, which tells us how far along the x-axis our point is. A positive number means we move to the right of the origin. The second number -1 is the y-coordinate, which tells us how far along the y-axis our point will be. A negative number means we move down from the origin.
02

Drawing the axes and marking the point

Draw a horizontal line to represent the x-axis and a vertical line to represent the y-axis. They intersect at the origin (0,0). Move four units to the right on the x-axis (since the x-coordinate is 4) and one unit down on the y-axis (since the y-coordinate is -1). Mark your point here.
03

Verification

To make sure that the plotted point is correct, verify that it is 4 units to the right of the y-axis and 1 unit below the x-axis. This confirms that the plotted point is correct.

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