Answer: The coordinates of A = (-6,-3).
Explanation:
The coordinates of image of point (x,y) after the dilation with scale factor of k given by :-
![(x,y)\to (kx,ky)](https://img.qammunity.org/2022/formulas/mathematics/high-school/e3lacytewqtltsvoqbo5laayjcqqy00l4a.png)
Given: Scale factor = 1.5
Coordiantes of A = (-4,-2)
The coordiantes of A' after a dilation with a scale factor of 1.5 will be
![(1.5*-4, 1.5*-2) = (-6,-3)](https://img.qammunity.org/2022/formulas/mathematics/high-school/yqui49rqvhwg6k2ws9gs2srolmq6bpea3k.png)
Hence, the coordinates of A = (-6,-3).