Question

explain how to plot a point in the rectangular coordinate system. give an example with your explanation. to plot the point (a,b) in the rectangular coordinate system, if a is positive, go |a| units from zero along the and if a is negative, go |a| units from zero along the then, if b is positive, go |b| units parallel to the and if b is negative, go |b| units parallel to the as an example, the point is plotted on the graph to the right. (type an ordered pair.)

Explanation:

Step1: Understand x - coordinate movement

If the x - coordinate \(a\) of the point \((a,b)\) is positive, move \(|a|\) units to the right along the x - axis. If \(a\) is negative, move \(|a|\) units to the left along the x - axis.

Step2: Understand y - coordinate movement

After moving along the x - axis, if the y - coordinate \(b\) is positive, move \(|b|\) units up parallel to the y - axis. If \(b\) is negative, move \(|b|\) units down parallel to the y - axis.

Step3: Provide an example

Let's take the point \((3,- 2)\). First, since \(a = 3>0\), we move 3 units to the right along the x - axis. Then, since \(b=-2 < 0\), we move 2 units down parallel to the y - axis.

Answer:

For example, to plot the point \((3,-2)\), first move 3 units to the right along the x - axis (because the x - coordinate 3 is positive), then move 2 units down parallel to the y - axis (because the y - coordinate - 2 is negative).