To perform a dilation of the points A and B, you need a center of dilation and a scale factor. Assuming you want to dilate the points from the origin (0,0) and a dilation factor \( k \), the new coordinates for the points A and B after dilation can be calculated using the formula:
\[ A' = (k \cdot x_A, k \cdot y_A) \] \[ B' = (k \cdot x_B, k \cdot y_B) \]
Where \( (x_A, y_A) \) are the coordinates of point A and \( (x_B, y_B) \) are the coordinates of point B.
Let's apply this formula to your points A (6, -12) and B (-3, 9):
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For point A (6, -12): \[ A' = (k \cdot 6, k \cdot -12) \]
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For point B (-3, 9): \[ B' = (k \cdot -3, k \cdot 9) \]
Without specific values for the scale factor (k), I can’t provide the exact coordinates for A' and B'. If you can provide the scale factor, I can compute the new coordinates for you.
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