Question

P , Q and R are collinear points such that PQ = QR . IF the coordinates of P , Q and R are (-5 , x) , (y , 7) , (1 , -3) respectively, find the values of x and y.

Answer 1

Given PQ = PR , i.e. PQ : QR = 1 : 1

Coordinates of Q are ,

Q (y , 7) = Q `((1 - 5)/2 , (-3 + "x")/2)`

y = -2 , 7 = `(- 3 + "x")/2`

y = -2 , 14 = - 3 + x

17 = x

The value of x and y are 17 and -2 respectively.