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Algebra 1
Found in: Page 661
Algebra 1

Algebra 1

Book edition Student Edition
Author(s) Carter, Cuevas, Day, Holiday, Luchin
Pages 801 pages
ISBN 9780078884801

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Short Answer

Find the distance between the points with the given coordinate.


The distance between the coordinates (2,3) and (3,5) is 5 units.

See the step by step solution

Step by Step Solution

Step 1. State the concept of ‘Distance between two points in 2 dimensional plane’.

Let the two points in 2 dimensional plane be (x1,y1) and (x2,y2).

The distance between the points is given as:

d=(x2x1)2+(y2y1)2                         (1)

Where d is the distance.

Step 2. Calculate the distance.

The two points which is given are (2,3) and (3,5).

Substitute (2,3) as (x1,y1) and (3,5) as (x2,y2) in (1) to calculate the distance.

localid="1647926325268" d=(x2x1)2+(y2y1)2=(32)2+(53)2=(1)2+(2)2=1+4=5

Step 3. State the conclusion.

Therefore, distance between the points (2,3) and (3,5) is width="26" style="max-width: none; vertical-align: -4px;" 5 units.

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