Alright, let's work through the problem step by step.
We are given the equation:
[tex]\[ y = |x + 7| \][/tex]
and we need to determine the value of [tex]\( y \)[/tex] when [tex]\( x \)[/tex] is [tex]\(-9\)[/tex].
1. Substitute [tex]\( x = -9 \)[/tex] into the equation:
[tex]\[ y = |-9 + 7| \][/tex]
2. Simplify the expression inside the absolute value:
[tex]\[ -9 + 7 = -2 \][/tex]
So,
[tex]\[ y = |-2| \][/tex]
3. Apply the absolute value operation:
The absolute value of [tex]\(-2\)[/tex] is [tex]\(2\)[/tex].
Therefore, the value of [tex]\( y \)[/tex] is [tex]\( 2 \)[/tex].
