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 :
[tex]M(x,y)= \frac{x1+ x2}{2} ,\frac{y1+ y2}{2}[/tex]
Using the above formula
[tex]4=\frac{2+x_2}{2}[/tex]..................................(1)
[tex]0=\frac{5+y_2}{2}[/tex]..................................(2)
Solving equation(1)
tex]8=2+x_2[/tex]
[tex]x_2=8-2[/tex]
[tex]x_2=6[/tex]
Solving equation(2)
[tex]0\times 2=\frac{5+y_2}{2}[/tex]
[tex]0=5+y_2[/tex]
[tex]-5=y_2[/tex]
Thus [tex]x_2=6[/tex] and [tex]y_2 =-5[/tex]
