Final answer:
The new coordinates after translating the point (-3, 15) by 9 units right and 10 units down are (6, 5).
Step-by-step explanation:
The question involves finding the new coordinates of a point after a certain translation in a coordinate system. When the point (-3, 15) is translated 9 units to the right, its x-coordinate increases by 9. When it is translated 10 units down, its y-coordinate decreases by 10. Therefore, the new x-coordinate is -3 + 9 = 6, and the new y-coordinate is 15 - 10 = 5. So, the new coordinates of the point are (6, 5).