Answer:  (12,9), (6,9), (12,-6) and (6,-6)
Step-by-step explanation:
Given: The coordinates of the original rectangle are  (8, 6), (4, 6), (8, −4), and (4, −4).  We know that the coordinates of the image after dilation  from the origin by a scale factor of k is given by:_

Then, the coordinates of the image after dilation from the origin by a scale factor of 1.5 are given by:_
(8, 6)→
 (4, 6)→
 (8, −4) →
 (4, −4)→
Hence, the coordinates of the image after dilation from the origin by a scale factor of 1.5 are (12,9), (6,9), (12,-6) and (6,-6).