To determine the value of [tex]\( y \)[/tex] when [tex]\( x \)[/tex] is -12 using the equation [tex]\( y = |x - 6| \)[/tex], follow these steps:
1. Substitute [tex]\( x = -12 \)[/tex] into the equation:
[tex]\[
y = |-12 - 6|
\][/tex]
2. Simplify inside the absolute value:
[tex]\[
y = |-18|
\][/tex]
3. Calculate the absolute value:
[tex]\[
y = 18
\][/tex]
Therefore, the value of [tex]\( y \)[/tex] is [tex]\( 18 \)[/tex].
