Question

if (1, 4) is the midpoint of a line segment joining p(5,6) and q(-3,a) find a​

Answer 1

Step-by-step explanation:

Definition of mid point

For y coordination

a+6/2=4

a+6=8

a=2

Answer 2

Answer:

The value of a = 2

Step-by-step explanation:

Given data

Mid point of a line segment joining p(5, 6)  and q(-3, a)  is (1, 4)

here we need to find value of a  

we know that mid point of a line segment (x₁ y₁) and (x₂, y₂)  is

                    =  [ (x₁ + x₂) / 2 ,   (y₁ + y₂) / 2 ]

Mid point of a line segment joining p (5, 6)  and q (-3, a)  

                    =  [ 5 + (-3) / 2 ,    6 + a  / 2 ]  which is equals to (1, 4)  

⇒   [ 2/ 2 ,  6+a / 2 ]  =  (1, 4)  

⇒  [ 1 ,  6+a / 2 ]   =  (1, 4)  

⇒  6+a / 2 = 4  

⇒  6 + a = 8  

⇒   a = 8 - 6 = 2

⇒  a = 2