Question

If P(3,5) is the midpoint of line segment joining the points A(2,3) and B(x,y), Find B(x,y)​

Answer 1

Answer:

x=4

y=3

Step-by-step explanation:

since P is the mid point of AB

P(x,y)=$\frac{x_{1}+ x_{2}}{y}$  ,  $\frac{y_{1}+ y_{2}}{y}$

P(3,5)=$\frac{2+x}{2}$  ,  $\frac{3+y}{2}$

$\frac{2+x}{2}$=3

2+x=6

x=6-2

x=4

$\frac{3+y}{2}$=5

3+y=10

y=10-7

y=3

Answer 2

The vaue of point B is  ( 4, 7).

Step-by-step explanation:

Given,

P(3, 5) is the midpoint of line segment joining the points A(2, 3) and B(x, y).

To find, the value of B(x, y)​ = ?

We know that,

Midpoint = ($\dfrac{x_{1}+x_{2}}{2},\dfrac{y_{1}+y_{2}}{2}$)

∴ $\dfrac{2+x}{2}=3$

⇒ 2 + x = 3 × 2 = 6

⇒ x = 6 - 2 = 4

Also,

$\dfrac{3+y}{2} =5$

⇒ 3 + y = 5 × 2 = 10

⇒ y = 10 - 3 = 7

∴  x = 4 and y = 7

Hence, the vaue of point B is  ( 4, 7).