Answer:
We know that point A(5, 1) maps to A'(6, -2) in the translation. To find the translation vector, we can subtract the coordinates of A from the coordinates of A':
Translation vector = A' - A = (6, -2) - (5, 1) = (1, -3)
This means that every point in the preimage moves 1 unit to the right and 3 units down to reach its corresponding point in the image.
We also know that point B'(−1, 0) is the image of a point B in the preimage. To find the coordinates of point B, we can apply the translation vector to B':
B = B' - Translation vector = (-1, 0) - (1, -3) = (-2, 3)
Therefore, the coordinates of point B in the preimage are (-2, 3).