Question

. If (2, a) is midpoint of A(-2, 4) and B(b, 8) find the value of b.​

Answer 1

Step-by-step explanation:

Given :-

(2, a) is midpoint of A(-2, 4) and B(b, 8)

To find:-

find the value of b?

Solution:-

Given points are:

A(-2, 4) and B(b, 8)

Let (x1, y1)=A(-2, 4)=>x1=-2 and y1=4

Let (x2, y2)=B(b, 8)=> x2=b and y2=8

We know that

The mid point of the line segment joining by the points (x1, y1) and (x2, y2) is [(x1+x2)/2 , (y1+y2)/2]

On Substituting these values in the above formula

=>[(-2+b)/2,(4+8)/2]

=>((-2+b)/2,12/2)

=>((-2+b)/2,6)

According to the given problem

Mid point is (2,a)

=>(2,a) = ((-2+b)/2,6)

On Comparing both sides then

=>a = 6 and

(-2+b)/2 = 2

=>(-2+b)=2×2

=>-2+b = 4

=>b = 4+2

=>b = 6

Therefore,b = 6

Answer:-

The value of b for the given problem is 6

Used formula:-

The mid point of the line segment joining by the points (x1, y1) and (x2, y2) is [(x1+x2)/2 , (y1+y2)/2]