Question

find the value of a, for which point p (a÷3, 2) is the line segment joining the points q(-5, 4) and r (-1, 0).

Answer 1

Coordinate of mid point (x,y)
x = (x1 +x2)/2
y =(y1 +y2)/2
A/q
x =(-5 + (-1))/2 = -3 
⇒a/3 = -3
⇒a =-9
y = (4+0)/2 = 2
coordinate of mid point = (-3,2)
so, a= -9