Question

if P(2,4), Q(0,3) ,R(3,6) and S(5,y) are vertices of the parallelogram PQRS then find the value of y?

Answer 1

I am gonna find the value of y by using the concept of slope. If you know any other methods, let me know.

Answer 2

y = 7 if P(2,4), Q(0,3) ,R(3,6) and S(5,y) are vertices of the parallelogram PQRS

Step-by-step explanation:

PQRS is a parallelogram

PQ ║ RS    &  PS ║ QR

=> Slope of PQ = Slope of RS

Slope of PS = Slope of QR

P(2,4), Q(0,3) ,R(3,6) and S(5,y)

Slope of PQ  =  (3 - 4)/(0 -2) =  1/2

Slope of  RS =  ( y - 6)/(5 - 3)  = (y - 6)/2

(y - 6)/2 =  1/2

=> y - 6 = 1

=> y = 7

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