Q. 119 - Precalculus Enhanced with Graphing Utilities

Question

Write a paragraph that describes a Cartesian plane. Then write a second paragraph that describes how to plot points in the Cartesian plane. Your paragraphs should include the terms “coordinate axes,” “ordered pair,” “coordinates,” “plot,” “x-coordinate,” and “y-coordinate.”

Step-by-Step Solution

Answer

Once the location of the coordinates is like that of the ordered pair, the point can then be plotted. 

Step 1. Given Information

We have a Cartesian plane. The $x$and $y$axis in which there are four quadrants.

Step 2. About Cartesian Plane

A Cartesian plane is characterized by two perpendicular number lines called coordinate

axes: the horizontal -axis and the vertical -axis. Using these axes, one can use an ordered pair of integers to describe every point in the plane. This coordinate system extends infinitely

in all directions.

Step 3. How to locate points in Cartesian Plane

Now, in order to plot points in the Cartesian plane, one should take note of the coordinates of the point. The -coordinate is the value on the left side of the ordered pair, and - coordinate is the value on the right. So to do the plotting, first, let's find the location of the -value in the horizontal axis. Next, identify the location of the point by moving it vertically. Once the location of the coordinates is like that of the ordered pair, the point can then be plotted.