Question

points P(-5,x),Q(y,7) and R(1,-3) are collinear such that PQ=QR.Calculate the value x and y

Answer 1

Answer:

The value of x is 17 and y is -2.

Step-by-step explanation:

It is given that points P(-5,x),Q(y,7) and R(1,-3) are collinear such that PQ=QR.

It means Q is midpoint of P and R.

$\text{Midpoint of P and R}=(\frac{-5+1}{2},\frac{x+(-3)}{2})$

$Q=(\frac{-4}{2},\frac{x-3}{2})$

$(y,7)=(-2,\frac{x-3}{2})$

On comparing both sides, we get

$y=-2$

$7=\frac{x-3}{2}$

$14=x-3$

$x=17$

Therefore the value of x is 17 and y is -2.

Answer 2

Answer:

x=17 and y=-2

Step-by-step explanation:

Given,

PQ=QR

so,

By mid point ,

x=x1+x2/2

y=-5+1/2

y=-4/2

y=-2

y=y1+y2+/2

7=x+(-3)/2

14=x-3

17=x

Hope it helps you