Plotting a point in the coordinate plane: Mixed number coordinates

Introduction

The coordinate plane has a vertical line and a horizontal line intersecting in the origin. Usually whole numbers are represented on the x axis and the y axis. However, in this lesson we are going to learn how to plot points that have mixed number coordinates in the coordinate plane.

Consider the following examples −

Example 1

Plot the following point in the coordinate plane.

(2, 2)

Solution

Step 1 − The x coordinate and y coordinate of the point are 2 and 2 respectively and the point lies in the quadrant 3.

Step 2 − Each of the unit divisions along x axis and the y axis represented by whole numbers is divided into 3 equal parts.

Step 3 − Plotting the point (2, 2) in the coordinate plane we get

Example 2

Plot the following point in the coordinate plane

(2, 0)

Solution

Step 1 − The x coordinate and y coordinate of the point are 2 and 0 respectively and the point lies on the positive x axis.

Step 2 − Each of the unit divisions along x axis and the y axis represented by whole numbers is divided into 4 equal parts.

Step 3 − Plotting the point (2, 0) in the coordinate plane.