Let's evaluate each of the given equations when [tex]\( x = 4 \)[/tex]. We will substitute [tex]\( x = 4 \)[/tex] into each equation and find the corresponding [tex]\( y \)[/tex] values.
1. [tex]\( y = -\frac{8}{x} \)[/tex]
Substituting [tex]\( x = 4 \)[/tex]:
[tex]\[
y = -\frac{8}{4} = -2.0
\][/tex]
2. [tex]\( y = \frac{1}{2} x \)[/tex]
Substituting [tex]\( x = 4 \)[/tex]:
[tex]\[
y = \frac{1}{2} \times 4 = 2.0
\][/tex]
3. [tex]\( y = 8 x \)[/tex]
Substituting [tex]\( x = 4 \)[/tex]:
[tex]\[
y = 8 \times 4 = 32
\][/tex]
4. [tex]\( y = -\frac{1}{2} x \)[/tex]
Substituting [tex]\( x = 4 \)[/tex]:
[tex]\[
y = -\frac{1}{2} \times 4 = -2.0
\][/tex]
The results for each equation when [tex]\( x = 4 \)[/tex] are:
1. [tex]\( y = -2.0 \)[/tex]
2. [tex]\( y = 2.0 \)[/tex]
3. [tex]\( y = 32 \)[/tex]
4. [tex]\( y = -2.0 \)[/tex]
These are the corresponding [tex]\( y \)[/tex] values for each given equation when [tex]\( x = 4 \)[/tex].
