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Chapter 1: Problem 18

Sketch a set of coordinate axes and then plot the point. $$ \left(-\frac{5}{2}, \frac{3}{2}\right) $$

Short Answer

Expert verified
Draw the coordinate axes and label them as x-axis and y-axis. Locate the x-coordinate -2.5 and y-coordinate 1.5 on the axes. From the origin, move -2.5 units left and 1.5 units up to plot the point \(\left(-\frac{5}{2}, \frac{3}{2}\right)\).

Step by step solution

01

Draw the coordinate axes

To begin, we will draw a set of coordinate axes on a piece of paper or a graphing tool. The horizontal axis is called the x-axis, and the vertical axis is called the y-axis. Remember to label the axes and include arrows at the ends to indicate that they continue indefinitely.
02

Locate the x-coordinate

The x-coordinate of the point we are plotting is \(-\frac{5}{2}\). To locate this on the x-axis, find the point halfway between -2 and -3. This is because \(-\frac{5}{2}\) is equal to -2.5.
03

Locate the y-coordinate

The y-coordinate of the point is \(\frac{3}{2}\). To locate this on the y-axis, find the point halfway between 1 and 2. This is because \(\frac{3}{2}\) is equal to 1.5.
04

Plot the point

Now that we have located both the x and y coordinates, we can plot the point on the coordinate axes. To do this, start at the origin (the point where the x and y axes intersect) and move -2.5 units to the left along the x-axis. Then, move 1.5 units up along the y-axis. This is the location of the point \(\left(-\frac{5}{2}, \frac{3}{2}\right)\). Mark this point with a dot and label it with the coordinates. By following these steps, you have successfully sketched a set of coordinate axes and plotted the point \(\left(-\frac{5}{2}, \frac{3}{2}\right)\).

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Most popular questions from this chapter

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