Question

the point p(a/8,4) is the mid point of the libe segment joining the points A(-5,2)and B(4,6) find the value of A​

Answer 1

Answer:

Thus a= -36

Step-by-step explanation:

We know the coordinates of  AB if A(x1,y1), and B ( x2, y2)

IF P is the mid point  of AB

Then the coordinates of P are:

[ (x1+x2)/2  , (y1+y2) ]

Here x1=-5 ,y1=2,x2=4 and y2=6

So the coordinates of P are:

[ ( -5+4)/2, (2+6)/2 ]

Or ( -9/2 , 8/2)

Or (-9/2, 4)

Thi given Coordinates og P are (a/8,4)

So a/8 =-9/2

2a=-8*9

2a=-72

a=-72/2 =-36

THus a=-36