At what point must the origin be shifted, if the coordinates of a point (-4,2) become (3, -2)?
Let (h, k) be the point to which the origin is shifted. Then,
x = -4, y = 2, X = 3 and Y = -2
∴ x = X + h and y = Y + k
⇒ -4 = 3 + h and 2 = -2 + k
⇒ h = -7 and k = 4
Hence, the origin must be shifted to (-7, 4)