Finding distances between points that share a common coordinate given their coordinates

Introduction

In this lesson, we are given two points that share a common coordinate. We are required to find the distance between the two given points.

Rules to find distance between the points

• First we look at the coordinates of the given two points.

• We see that the two points have one of the coordinates same or have a shared common coordinate.

• The difference between the coordinates of the two points other than the shared coordinates gives the distance between the two points in the graph.

Example 1

Find the distance between the pair of points given below that share a common coordinate.

(3, 6), (3, 12)

Solution

Step 1 − The given pair of points have a common x coordinate 3.

Step 2 − The distance between the points is the difference between the y coordinates, i.e., 12 6 = 6 units.

Step 3 − So, the distance between the two given points = 6 units.

Example 2

Find the distance between the pair of points given below that share a common coordinate.

(0, 6), (0, 11)

Solution

Step 1 − The given pair of points have a common x coordinate 0.

Step 2 − The distance between the points is the difference between the y coordinates, i.e., 6 (11) = 6 + 11 = 5 units.

Step 3 − So, the distance between the two given points = 5 units.