Question

Find the midpoint of A and B where A has coordinates (2,9)
and B has coordinates (7,4).
y
10
9
8
7
6
5
4
3
2
1
х
O
1 2 3 4 5 6 7 8 9 10

Answer 1

Answer:

$(\dfrac{9}{2}, \dfrac{13}{2})$

Step-by-step explanation:

The coordinates of A = (2,9)

The coordinates of B = (7,4)

Let M (x,y) be the mid point of A and B.

$M(x,y)=(\dfrac{x_1+x_2}{2}),(\dfrac{y_1+y_2}{2})\\\\=\dfrac{2+7}{2}, \dfrac{9+4}{2}\\\\=(\dfrac{9}{2}, \dfrac{13}{2})$

So, the coordinates of mid point of A and B is $(\dfrac{9}{2}, \dfrac{13}{2})$.