Question

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

Answer 1

(9
`(1)/(2)`, 5
`(1)/(2)`) or (9 1/2, 5 1/2) (same things, just typed two different ways)

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
`(m)/(m+n) (second X, - first X) + first x`, so 1/2( 12 - 7) +7. now distribute the 1/2 to both the numbers
`(1x12)/(2) -(1x7)/(2) + 7 \\ \\ 12/2 -7/2 = 5/2 + 7 = 9.5` or
`9(1)/(2)`. The same works with the Y values, which would equal up to 5.5 or 5
`(1)/(2)`