To determine the value of [tex]\( y \)[/tex] when [tex]\( x \)[/tex] is [tex]\(-3\)[/tex], we need to follow the given equation for [tex]\( y \)[/tex]:
[tex]\[ y = |x - 1| \][/tex]
Here's a step-by-step solution:
1. Substitute [tex]\( x = -3 \)[/tex] into the equation:
[tex]\[ y = |-3 - 1| \][/tex]
2. Perform the subtraction inside the absolute value:
[tex]\[ y = |-4| \][/tex]
3. The absolute value of [tex]\(-4\)[/tex] is [tex]\( 4 \)[/tex]:
[tex]\[ y = 4 \][/tex]
Thus, the value of [tex]\( y \)[/tex] when [tex]\( x \)[/tex] is [tex]\(-3\)[/tex] is [tex]\( 4 \)[/tex].
