The Distance and Midpoint Formulas
by Justin H.

 X1+X2 , Y1+Y2
   2             2

Example 1:  Try to find the   midpoint of the points (3,-2) and (-2,5).

    and just like that...

Step 1- Plug the points into  the midpoint equation.                                               

((3+-2),(-2+5)) divided by 2.

Solution:  The midpoint of the points is (1/2,11/2)                                                                                                                                                 

 

Word Problem:  If the map of a state park is put on a number grid, the visitor's center is located at the coordinates (3,1).  The campsites are located at the coordinates (8,3).  The restrooms are located halfway between the campsites and the visitor's center.  Given this information, determine the distance between the visitor's center and the campsites as well as the coordinates of the restrooms.

Solution:  To find the distance between the visitor's center and the campsites:

((8-3)^2+(3-1)^2) =29 units

To find the point of the restrooms:

((3+8)/2),(1+3)/2) = (5 1/2,2)  

Final Answer:  The distance between the visitor's center and the campsites is 29 units.  The coordinates of the restrooms are (5 1/2,2).

"You cannot escape the responsibility of tomorrow by evading it today." --Abraham Lincoln

This quote means that you can't escape the future, so there is no need to delay the inevitable.

(www.quoteland.com)

For more help on this subject go to www.math.com!

Justin H./Algebra II

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