To find the integer, let's start by using the information provided:
1. We know that when an integer [tex]\( \text{(let's call it 'x')} \)[/tex] is divided by -7, the quotient is -9.
This relationship can be expressed as follows:
[tex]\[ \frac{x}{-7} = -9 \][/tex]
2. To find the value of [tex]\( x \)[/tex], we need to isolate [tex]\( x \)[/tex]. We do this by multiplying both sides of the equation by -7 (the divisor):
[tex]\[ x = -9 \times -7 \][/tex]
3. Multiply -9 by -7:
[tex]\[ x = 63 \][/tex]
So, the integer [tex]\( x \)[/tex] that, when divided by -7, gives a quotient of -9 is [tex]\( \boxed{63} \)[/tex].
