Question

Find the coordinate of the missing enpoint if B is the midpoint of AC.
A(-4,2), B(6,-1) C

Answer 1

Explanation:

Hey there!!

Here,

B(6,-1) is a midpoint of two end points AC.

A(-4,2) is a one end point.

Let another point be B(x,y).

Now, Using midpoint forumula.

`(x,y) = ((x1 + x2)/(2) , (y1 + y2)/(2) )`

Put all values.

`(6, - 1) = ( ( - 4 + x)/(2) ,(2 + y)/(2) )`

As they are equal, equating with their corresponding elements we get,

`6 = ( - 4 + x)/(2)`

12 = -4 + x

x = 16.

Again,

`- 1 = (2 + y)/(2)`

-2 = 2+ y

y = -4

Therefore, the coordinates were B(16,-4).

Hope it helps...