<PRE><B>Question 224733</B>
How do i Find the midpoint of the line segment from ( -1/4 , 1/2 )  to  ( -4 , -3 )?


Step 1.  Given two points (x1,y1) and (x2,y2), the midpoint is the average of the x- and y-coordinates.   That is, the midpoint is {{{xm=(x1+x2)/2}}} {{{ym=(y1+y2)/2}}} or (xm, ym)


Step 2.  Then, the midpoint is calculated as follows 


{{{xm=(-1/4-4)/2=(-17/4)/2=-17/8}}}


{{{ym=(1/2-3)/2=(-5/2)/2}}}


Step 3.  ANSWER: The midpoint is (-17/8,-5/4)


I hope the above steps were helpful.


For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.


Good luck in your studies!


Respectfully,
Dr J
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