What will be the new equation of the straight line 5x + 8y = 10, if the origin gets shifted to (2,-3) ?
Answers
Given : straight line 5x + 8y = 10
To Find : new equation if the origin gets shifted to (2,-3)
Solution:
Let say X , Y be coordinated wrt to shifted point ( 2 , -3)
=> X = x - 2 & Y = y -(-3)
=> x = X + 2 & y = Y - 3
Original Equation was 5x + 8y = 10
substituting x = X + 2 & y = Y - 3 will get transformed Equation
=> 5(X + 2) + 8(Y - 3) = 10
=> 5X + 10 + 8Y - 24 = 10
=>5X + 8Y = 24
5X + 8Y = 24 is the transformed equation of straight line 5x + 8y = 10, if the origin gets shifted to (2,-3)
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answer is in the attachment given below
