Final answer:
The translation rule given is unclear, but if we interpret it as subtracting five times the Y value and then adding nine to point B's Y coordinate, the new Y coordinate would be 24. This does not match any of the provided answers, and the rule should probably be clarified.
Step-by-step explanation:
The student is asking about the translation of a point on a coordinate plane. The point B(6, -3) is being translated using the rule X minus 5Y plus 9. This rule isn't clearly defined in standard format, which would normally be something like (X+k, Y+l) where 'k' and 'l' are the units you move the point in the 'x' and 'y' direction, respectively. However, if we interpret the rule as translating the Y coordinate by subtracting 5 times the Y value and then adding 9, we get:
New Y coordinate = (-3) × (-5) + 9
Following the order of operations, multiply before performing addition:
New Y coordinate = 15 + 9 = 24
Unfortunately, none of the given answer choices (A) -3 B) 6 C) 3 D) -9) match the calculated value. There could be a misunderstanding in how to use the provided translation rule, so it's recommended to clarify the rule format or correct it before finding the Y coordinate after the translation.