Question

Find the midpoint of A and B where A has coordinates (2, 3)

and B has coordinates (8,9).
y
10
9
8
7
6
5
4
3
2
1
X
O
1 2 3 4 5 6 7 8 9 10

Answer 1

The mid-point of AB is (5,6)

Explanation:

The mid-point of two points lies between the middle of two points or divides the line in two equal parts.

The formula for finding mid-point, M, is:

`M(x,y) = ((x_1+x_2)/(2),(y_1+y_2)/(2))`

Here (x1,y1) are the coordinates of first point and (x2,y2) are coordinates of second point.

Given

(2, 3) and (8,9)

Putting the values in the formula

`M(x,y) =((2+8)/(2) , (3+9)/(2))\\M = ((10)/(2), (12)/(2))\\M = (5,6)`

Hence,

The mid-point of AB is (5,6)