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The Distance Formula

The Distance Formula

In analytic geometry, the distance between two points of the xy-plane can be found using the distance formula. Distance Formula is used to calculate the distance between two points. The distance between (x1, y1) and (x2, y2) is given by:The Distance Formula

d=(x2−x1)2+(y2−y1)2

Example For The Distance Formula

Question: Given the points (-1, -2) and (-3, 5), find the distance between them.

Solution:

Label the points as follows

(x1,y1)=(−1,−2)and(x2,y2)=(−3,5)

Therefore: 

x1=−1,y1=−2,x2=−3,andy2=5

To find the distance (d) between the points, use the distance formula:

d=(x2−x1)2+(y2−y1)2

=(−3−(−1))2+(5−(−2))2

=(−3+1)2+(5+2)2

=(−2)2+(7)2

=4+49

=53

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