Answer: The coordinates of A = (-6,-3).
Step-by-step explanation:
The coordinates of image of point (x,y) after the dilation with scale factor of k given by :-
[tex](x,y)\to (kx,ky)[/tex]
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
[tex](1.5\times-4, 1.5\times-2) = (-6,-3)[/tex]
Hence, the coordinates of A = (-6,-3).