The Distance Formula

What is The Distance Formula? The Distance formula is a formula used to find the distance between to different given points on a graph. The points would be labeled as the following: (x1, y1) & (x2, y2)

The Actual Formula The actual formula is: D= (x1 – x2)² + (y1 - y2)² “X” is the variable used for the number on the x coordinate and “Y” is the variable for the number on the y coordinate

Example #1 Find the distance between (2,1) and (5,2). D= (2 - 5)² + (1 - 2)² D= (-3)² + (-1)² D= 9+1 D= 10 D= x1 y1x2y2 -First write out the problem and solve the parentheses. -Then solve the squared number. -Add the two numbers. -Find the square root of the remaining number.

Example #2 Find the distance between (3,8) & (4,6). D= (3-4)² + (8-6)² D= (-1)² + (2)² D= D= 5 D= 2.236

Example #3 Find the distance between (1,1) and (8,0) D= (1-8)² + (1-0)² D= (-7)² + (1)² D= D= 50 D= 7.071

And Now… Difficult Examples! Find the distance between (82,20) & (55,3) D= (82-55)² + (20-3)² D= (27)² + (17)² D= D= 1018 D=

Example #5 Find the distance between (0,5) & (100,67) D= (0-100)² + (5-67)² D= (-100)² + (-62)² D= D= D=

Larger Numbers! Find distance between (1000,200) & (23,2) D= ( )² + (200-2)² D= (977)² + (198)² D= D= D=

Example #7 Find distance between (222,12) & (0,482) D= (222-0)² + (12-482)² D= (222)² + (-470)² D= D= D=

Example #8 Find distance between (1,1) & (30000,288) D= ( )² + (1- 288)² D= (-29999)² + (-287)² D= D= D= Oh…I understand now!

Another Example! Find distance between ( ,9000) & (300000,2001) D= ( )² + ( )² D= (700000)² + (6999)² D= D= D=

The End