![X_m = \frac{A_x +B_x}{2}= \frac{1+B_x}{2}= 2](/tpl/images/0639/7053/37206.png)
And we can solve for
and we got:
![1+B_x = 4](/tpl/images/0639/7053/30326.png)
![B_x = 3](/tpl/images/0639/7053/f397d.png)
![Y_m = \frac{A_y +B_y}{2}= \frac{2+B_y}{2}= 5](/tpl/images/0639/7053/692a4.png)
And we can solve for
and we got:
![2+B_y = 10](/tpl/images/0639/7053/10817.png)
![B_y = 8](/tpl/images/0639/7053/0bd64.png)
So then the coordinates for B are (3,8)
Step-by-step explanation:
For this case we know that the midpoint for the segment AB is (2,5)
And we know that the coordinates of A are (1,2)
We know that for a given segment the formulas in order to find the midpoint are given by:
![X_m = \frac{A_x +B_x}{2}= \frac{1+B_x}{2}= 2](/tpl/images/0639/7053/37206.png)
And we can solve for
and we got:
![1+B_x = 4](/tpl/images/0639/7053/30326.png)
![B_x = 3](/tpl/images/0639/7053/f397d.png)
![Y_m = \frac{A_y +B_y}{2}= \frac{2+B_y}{2}= 5](/tpl/images/0639/7053/692a4.png)
And we can solve for
and we got:
![2+B_y = 10](/tpl/images/0639/7053/10817.png)
![B_y = 8](/tpl/images/0639/7053/0bd64.png)
So then the coordinates for B are (3,8)