Steps:[br]1. get the difference of the x-coordinates, ∆x; drop the sign if neg. (i.e. take the absolute value of the difference, [size=150]l[/size]∆x[size=150]l, [size=100]then square your result.[/size][/size][br]2. do the same with the y-coordinates. Get the [size=150]I[/size]∆y[size=150]I [size=100]and square your answer.[/size][br][/size]3. Add the two squares[br]4. place the sum under the square root sign,[math]\sqrt{ }[/math] [br]5. simplify if possible.[br][br]Ex: (5, – 9)[br] – (12, 1)[br] ___________        (square them)[br] ∆x = –7 ∆y = –10 ---> I∆xI = 7 I∆yI = 10 --- - - - - -> 49 + 100 = 149 ---> [math]\sqrt{149}[/math][br] [br]

Add the x- coordinates and divide by two and add the y- coordinates and divide by two. The results, an ordered pair is the answer.[br](the midpoint's coordinates are the average of a segment's endpoints)[br]Ex A(6, 8) B(–3, 7) --> midpoint ((6 + –3)/2, (8 + 7)/2) --> answer: (3/2, 15/2) or (1.5, 7.5)

DF = [size=200][math]\sqrt{1193}[/math][/size]

midpoint: (3/2, 16) or (1.5, 16)