Answer:
The value of a = -12.
Step-by-step explanation:
Given that the points are Q( -6, 5) and R ( -2, 3) -
As we know that-
If a line segment AB is with endpoints ( [tex]x_{1}, y_{1}[/tex] ) and ( [tex]x_{2}, y_{2}[/tex] ) then the mid points C are-
C = ( [tex]\frac{x_{1} + x_{2} } {2}[/tex] , [tex]\frac{ y_{1} + y_{2} }{2}[/tex] )
Here,
Q( -6, 5) and R ( -2, 3)
then the midpoints C are-
( a/3, 4) = ( [tex]\frac{- 6 + ( - 2)}{2}[/tex], [tex]\frac{ 5 + 3 }{2}[/tex] )
We have to find the value of x therefore we need to compare only x coordinate -
a/3 = ( -6 - 2)/2
a/3 = -8/2
a/3 = - 4
a = -12
Hence the value of a = -12.
