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Chapter 1: Problem 17

Sketch a set of coordinate axes and then plot the point. $$ \left(8,-\frac{7}{2}\right) $$

Short Answer

Expert verified
Create the coordinate axes and mark the x-coordinate at 8 on the x-axis and the y-coordinate at -3.5 on the y-axis. Draw horizontal and vertical lines from these marks to find the point of intersection, which represents the given point \(\left(8,-\frac{7}{2}\right)\). Label the point accordingly on the graph.

Step by step solution

01

Draw the coordinate axes

Start by drawing the x-axis (horizontal) and y-axis (vertical) on a piece of paper or using graphing software. Make sure to label the axes \(x\) and \(y\), respectively.
02

Mark the x-coordinate

Find the x-coordinate on the x-axis, which in this case is 8. Place a small mark on the x-axis at this point and label it "8."
03

Mark the y-coordinate

Find the y-coordinate on the y-axis, which in this case is \(-\frac{7}{2}\), or -3.5. Place a small mark on the y-axis at this point and label it "-3.5."
04

Plot the point

From the x-coordinate mark, draw a horizontal line until it reaches the level of the y-coordinate mark. From the y-coordinate mark, draw a vertical line until it meets the horizontal line from the x-coordinate. The point where the two lines intersect is the location of \(\left(8,-\frac{7}{2}\right)\) on the coordinate axes. Mark the point with a dot and label it \(\left(8,-\frac{7}{2}\right)\).
05

Finished sketch

Now you should have a sketch with the coordinate axes, the labeled x-coordinate at 8, the labeled y-coordinate at -3.5, and the plotted point \(\left(8,-\frac{7}{2}\right)\) on the graph.

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