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Chapter 1: Problem 19

Sketch a set of coordinate axes and then plot the point. $$ (4.5,-4.5) $$

Short Answer

Expert verified
Sketch the coordinate axes with a horizontal x-axis and a vertical y-axis, intersecting at the origin (0,0). Locate 4.5 on the x-axis and -4.5 on the y-axis. Plot the point (4.5, -4.5), which lies in the fourth quadrant where the x and y coordinates intersect.

Step by step solution

01

Draw the coordinate axes

Begin by drawing a horizontal line (x-axis) and a vertical line (y-axis), intersecting at the origin (0,0). Label the axes with x and y, respectively.
02

Mark the x-coordinate

The x-coordinate of the given point is 4.5, so find the position on the x-axis representing 4.5. It is helpful to draw tick marks to indicate whole numbers on the x-axis, and then estimate the position of 4.5.
03

Mark the y-coordinate

The y-coordinate of the given point is -4.5, so find the position on the y-axis representing -4.5. It is helpful to draw tick marks to indicate whole numbers on the y-axis, and then estimate the position of -4.5.
04

Plot the point

Start from the position on the x-axis representing 4.5 and move vertically until you reach the position on the y-axis representing -4.5. This is where the two coordinates intersect and where you will plot the point. Place a dot in this location and label it as (4.5, -4.5).
05

Review the sketch

Check your sketch to ensure that the axes are labeled and the point is plotted accurately. The resulting drawing should have a point in the fourth quadrant, since the x-coordinate is positive and the y-coordinate is negative.

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