the transformed equation of 2x-5y-11=0 when origin is shifted to the point (5,-2) is
Answers
Given : 2x-5y-11=0 , origin is shifted to the point (5,-2)
To find : transformed equation
Solution:
Let say X , Y be coordinated wrt to shifted point ( 5 , -2)
=> X = x - 5 & Y = y -(-2)
=> x = X + 5 & y = Y - 2
Original Equation was 2x-5y-11=0
substituting x = X + 5 & y = Y - 2 will get transformed Equation
=> 2(X + 5) - 5(Y - 2) - 11 = 0
=> 2X + 10 - 5Y + 10 - 11 = 0
=> 2X - 5Y + 9 = 0
2X - 5Y + 9 = 0 is transformed equation of 2x-5y-11=0 when origin is shifted to the point (5,-2)
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