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Explaining The Distance Formula

Explaining 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: ( x 1, y 1) & ( x 2, y 2).

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Explaining The Distance Formula

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  1. Explaining The Distance Formula

  2. 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)

  3. The Actual Formula

  4. 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= 3.162 y1 x2 y2 x1 -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. Answer!

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

  6. Example #3 • Find the distance between (1,1) and (8,0) • D= (1-8)² + (1-0)² • D= (-7)² + (1)² • D= 49 + 1 • D= 50 • D= 7.071 Answer!

  7. 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= 729 + 289 • D= 1018 • D= 31.906 Answer!

  8. Example #5 • Find the distance between (0,5) & (100,67) • D= (0-100)² + (5-67)² • D= (-100)² + (-62)² • D= 10000 + 3844 • D= 13844 • D= 117.660 Answer!

  9. Larger Numbers! • Find distance between (1000,200) & (23,2) • D= (1000-23)² + (200-2)² • D= (977)² + (198)² • D= 954529 + 39204 • D= 993733 • D= 996.861 Answer!

  10. Example #7 • Find distance between (222,12) & (0,482) • D= (222-0)² + (12-482)² • D= (222)² + (-470)² • D= 49284 + 220900 • D= 270184 • D= 519.792 Answer!

  11. Example #8 • Find distance between (1,1) & (30000,288) • D= (1-30000)² + (1- 288)² • D= (-29999)² + (-287)² • D= 899940001 + 82369 • D= 900022370 • D= 30000.372 Oh…I understand now! Answer!

  12. Another Example! • Find distance between (1000000,9000) & (300000,2001) • D= (1000000-300000)² + (9000-2001)² • D= (700000)² + (6999)² • D= 490000000000 + 48986001 • D= 490048986001 • D= 700034.989 Answer!

  13. FINAL EXAMPLE! • Find distance between (0,10000000) & (1,55555) • D= (0-55555)² + (10000000-1)² • D= (-55555)² + (9999999)² • D= 3086358025 + 99999980000001 • D= 100003066358026 • D= 10000153.316 Answer!

  14. The End

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