Question

Segment AB has and endpoint at A (2,5) and a mod point at M (4,0), find the other endpoint (B).

Answer 1

Answer:

The other endpoint B= (6, -5)

Step-by-step explanation:

Given:

One end point A=  (2,5)

Mid point M = (4,0)

To Find:

The Other point =?

Solution:

According to midpoint formula, if (x1, y1) and (x2, y2) are two ends of a line then it’s midpoint is given by :  

$M(x,y)= \frac{x1+ x2}{2} ,\frac{y1+ y2}{2}$

Using the above formula

$4=\frac{2+x_2}{2}$..................................(1)

$0=\frac{5+y_2}{2}$..................................(2)

Solving equation(1)

tex]8=2+x_2[/tex]

$x_2=8-2$

$x_2=6$

Solving equation(2)

$0\times 2=\frac{5+y_2}{2}$

$0=5+y_2$

$-5=y_2$

Thus $x_2=6$ and  $y_2 =-5$