IMAGE BELOW I WILL GIVE BRAINLIEST

Answer:
A' (- 4, 6 )
Step-by-step explanation:
Since the dilatation is centred at the origin then multiply each coordinate by the scale factor , that is
A (- 6, 9 ) → A' ([tex]\frac{2}{3}[/tex] (- 6), [tex]\frac{2}{3}[/tex] (9) ) → A' (- 4, 6 )