A ordered pair is a dilation of (-2, 6) if we can find a factor in which the ordered pair is equal to the factor times (-2,6), so:
(-8, 24) is a dilation of (-2, 6) because:
(-8, 24) = 4*(-2,6)
(-8, 24) = (-8, 24)
(-1, 3) is a dilation of (-2, 6) because:
(-1, 3) = 1/2*(-2, 6)
(-1, 3) = (-1, 3)
(-6, 12) is not a dilation of (-2, 6) becuase:
(-6, 12) = 3*(-2, 6)
(-6, 12) ≠ (-6, 18)
Answer: (-6,12)