Final answer:
The integer that, when divided by -9, results in a quotient of -8 is 72, as the multiplication of two negative numbers results in a positive number.
Step-by-step explanation:
The question asks to find the integer that, when divided by -9, gives a quotient of -8. To solve for the integer, we can use multiplication, because dividing by a number is the same as multiplying by its reciprocal. In this case, we have:
-8 × -9 = 72
Therefore, the integer in question is 72. This is because when a negative number is multiplied by another negative number, the result is positive, as indicated by the multiplication rules for signs.