Question

Find the mid-point of A(3,2) and B(-1,4).​

Answer 1

Step-by-step explanation:

Mid point formula (X1+X2/2,Y1+Y2/2)

Then X1=3,Y1=2

Then X2=-1,Y2=4

(3+(-1)/2,2+4/2,)

(2/2,6/2)

AB= (1,3)

Answer 2

GIVEN :–

• Two points A(3,2) and B(-1,4).

TO FIND :–

• Mid point = ?

SOLUTION :–

• We know that if two points A(x₁,y₁) and B(x₂,y₂) then mid point –

$\\ \large \implies{ \boxed{\bf Mid - point = \left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)}}$

• Here –

$\\ \bf \: \:{\huge{.}} \:\:\: x_1 = 3$

$\\ \bf \: \:{\huge{.}} \:\:\: y_1 = 2$

$\\ \bf \: \:{\huge{.}} \:\:\: x_2 = -1$

$\\ \bf \: \:{\huge{.}} \:\:\: y_2 = 4$

• Now put the values –

$\\\implies\bf Mid - point = \left(\dfrac{3 - 1}{2},\dfrac{2 + 4}{2}\right)$

$\\\implies\bf Mid - point = \left(\dfrac{2}{2},\dfrac{6}{2}\right)$

$\\ \large\implies \pink{ \boxed{\bf Mid - point = (1,3)}}$

• Hence,The Mid point of AB is (1,3).