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Determine the value of [tex]y[/tex], if [tex]x = -8[/tex].

[tex]y = |x| + 4[/tex]

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GinnyAnsweridn
To determine the value of [tex]\( y \)[/tex] when [tex]\( x = -8 \)[/tex] given the equation:

[tex]\[ y = |x| + 4 \][/tex]

we need to follow these steps:

1. Substitute [tex]\( x \)[/tex] with -8:
Substitute [tex]\( x \)[/tex] in the equation with the given value, [tex]\(-8\)[/tex].

[tex]\[ y = |-8| + 4 \][/tex]

2. Find the absolute value of [tex]\(-8\)[/tex]:
The absolute value of a number is its distance from zero on the number line, regardless of direction. Therefore,

[tex]\[ |-8| = 8 \][/tex]

3. Add 4 to the absolute value:
Now that we have the absolute value of [tex]\(-8\)[/tex] which is [tex]\( 8 \)[/tex], we add [tex]\( 4 \)[/tex] to this value:

[tex]\[ y = 8 + 4 \][/tex]

4. Perform the addition:
Summing these up,

[tex]\[ y = 12 \][/tex]

So, the value of [tex]\( y \)[/tex] when [tex]\( x = -8 \)[/tex] is:

[tex]\[ \boxed{12} \][/tex]
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