what's the answer?

Question

Find the coordinates of the other endpoint of the​ segment, given its midpoint and one endpoint.​ (Hint: Let​ (x,y) be the unknown endpoint. Apply the midpoint​ formula, and solve the two equations for x and​ y.) midpoint ​(-13​-8,​), endpoint ​(​-15,-13​)

Answer 1

Hi Obay,

First you have to remember the midpoint ( of a line segment) formula , then we can subdtitute or plug in the values in our goven problem

Let assume the unknown co ordinate of one point is (x,y)

co-ordinate of the end point (-15,-13)..given

co-ordinate of the mid point ( -13, -8) given

so as per the formula , we can write (-13, -8) = ( x-15)/2, (y-13)/2

now we can form 2 equations here,

-13 = (x-15) / 2 eqn no 1, -8 = (y-13) / 2.....eqn no 2



from eqn. no. 1 , multiplying both sides by 2 we get , -26 = x-15 so adding both sides 15 we get x= -11

from eqn. no. 2, multiplying both sides by 2 we get ..-16 = y- 13 adding 13 both sides ..... we get y=-3

so co-ordinate of the unknown point is ( -11, -3 )

Answer 2

The hint tells you exactly how to proceed.

If the co-ordinates of a line segment are (a,b) and (c,d), the co-ordinates of the midpoint of the segment are [(a+c)/2,(b+d)/2].