Question

Find the value of a, for which point P (a/3 , 2) is the midpoint of the line segment joining the points Q (-5, 4) and R(-1, 0).

Answer 1

I hope the image solves your problem

Answer 2

Answer:

-9

Step-by-step explanation:

We are given that P is the mid point of line QR

P = $(x,y)=(\frac{a}{3},2)$

Q= $(x_1,y_1)=(-5,4)$

R= $(x_2,y_2)=(-1,0)$

Formula of midpoint :

$x = \frac{x_1+x_2}{2}$   --1

$y=\frac{y_1+y_2}{2}$

Substitute the value in 1

$\frac{a}{3}= \frac{-5-1}{2}$

$\frac{a}{3}= \frac{-6}{2}$

$\frac{a}{3}=-3$

$a=-9$

Thus the value of a is -9