Question

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

Answer 1

Mid point means sum of the two coordinates by 2.


since p is the midpoint, thus its coordinates must be equal to the midpoint of the two points which is given by x1+x2/2 and y1+y2/2

a=(x1+x2)/2
a = -6/2 = 3.

Answer 2

Answer:

(-9)

Step-by-step explanation:

Coordinate of mid point (x,y)

x = (x1 +x2)/2

x = (x1 +x2)/2y = (y1 +y2)/2

According to question....

x = (-5 + (-1))/2 = -3

(-5 + (-1))/2 = -3 ⇒ a/3 = -3

/3 = -3⇒ a =-9

y = (4+0)/2 = 2

coordinate of mid point = (-3,2)

so, a= -9

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