midpoint question?
M is the midpoint of
__
QR. Q has coordinates (-3, 5) , and M has coordinates (7, -9) .
Find the coordinates of R.
i know how to figure out midpoint problems when you are to find the midpoint, but i’m confused on how you’re supposed to find the endpoint. please show me how you got your answer. thanks =)
oh and the midpoint formula is:
(first x + second x , first y + second y)
———— over ————-
2
incase you didn’t remember…
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7= (-3+x)/2
and
-9= (5+y)/2
now solve for x and y:
x=17
y= -23
so R= (17,-23)
M=(xQ+xR over 2; yQ+yR over 2)
and M( 7; -9) so xQ+xR over 2 equal 7 and yQ+yR over 2 equal -9.
Now solve the equation to find the coordinate of R
xQ+xR
_____=7
2
-3+xR
_____=7
2
put them on the same denominator and eliminate 2
You now have
-3+xR = 14
-3+xR=14
xR=14+3
xR=17
you just do the same equation for Y and u have the coordinat of R.
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