Question

Find the coordinates of the midpoint of a segment with the endpoints (12,2) and (7,9)

Answer 1

Answer:

(9$\frac{1}{2}$, 5$\frac{1}{2}$) or (9 1/2, 5 1/2)   (same things, just typed two different ways)

Step-by-step explanation

  I can't remember the midpoint formula so I'll use a different method to get the midpoint.  

    since the ratio of a midpoint is 1:1 and that as a fraction is 1/2, we can take these coordinates and designate which one is first and which one is second (12, 2) will be my second and (7,9) will be my first. The formula I will use will be $\frac{m}{m+n} (second X, - first X) + first x$, so 1/2( 12 - 7) +7. now distribute the 1/2 to both the numbers  $\frac{1x12}{2} -\frac{1x7}{2} + 7 \\ \\ 12/2 -7/2 = 5/2 + 7 = 9.5$  or $9\frac{1}{2}$. The same works with the Y values, which would equal up to 5.5 or 5 $\frac{1}{2}$