The coordinates of the point $(3, - 5)$ in the new system when the origin is shifted to $(- 2, 3)$ are?

(3, - 5)

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(2, - 5)

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(5, - 8)

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(3, - 2)

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Solution

The correct option is C $(5, - 8)$
Let cordinate is $x^{'}, y^{'}$
Then $x^{'} - 2 = 3$
$⟹ x^{'} = 5$
$y^{'} + 3 = - 5$
$⟹ y^{'} = - 8$
So, $x^{'}, y^{'} = (5, - 8)$

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