A few days ago

delicious716bebe

midpoint question?

how do i figure out this problem? (without drawing a graph)

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 ————-

incase you didn’t remember…

Top 2 Answers

A few days ago

Anonymous

Favorite Answer

ok, so this is going to be a working-backwards problem. first off, plug in the information that you do know into the midpoint formula:

7= (-3+x)/2

and

-9= (5+y)/2

now solve for x and y:

x=17

y= -23

so R= (17,-23)

A few days ago

P. T

Thanks to the midpoint formula ur gonna search for the coordinate of R

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

-3+xR

_____=7

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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