Question

Points A and B have co-ordinates (3, 5) and (x, y) respectively. The mid point of AB is (2, 3). Find the values of x and y.

Answer 1

By midpoint formula
x = x1 + x2/2
2=3+ x2/2
2×2= 3+ x2
4= 3+ x2
4-3= x2
x2=x=1

y=y1 + y2/2
3= 5 + y2/2
6 =5 + y2
6-5=y2
y2=y=1

Answer 2

Answer:

x=1  

y=1

Step-by-step explanation:

A=(3,5)

B=(x , y)

The mid-point P = (2,3)

(x₁ + x₂ / 2 , y₁ + y₂ /2 )

( 3 + x / 2 , 5 + y / 2 )

Substitute 'x' ,

3 + x / 2 = 2

3 + x = 2 ˣ 2

3 + x = 4

x = 4 - 3

x = 1

Substitute 'y' ,

5 + y / 2 = 3

5 + y = 3 ˣ 2

5+ y = 6

y = 6 - 5

y = 1

Therefore , the values of ( x , y ) are ( 1 , 1 )