Let's proceed to find the numerical values for each [tex]\(y\)[/tex] given the corresponding [tex]\(x\)[/tex] values from the provided table.
1. Compute [tex]\( y \)[/tex] for [tex]\( x = -2 \)[/tex]:
[tex]\[
y = \frac{5}{13}
\][/tex]
Calculate the value:
[tex]\[
y = 0.38461538461538464
\][/tex]
2. Compute [tex]\( y \)[/tex] for [tex]\( x = 0 \)[/tex]:
[tex]\[
y = \frac{3}{11}
\][/tex]
Calculate the value:
[tex]\[
y = 0.2727272727272727
\][/tex]
3. Compute [tex]\( y \)[/tex] for [tex]\( x = 5 \)[/tex]:
[tex]\[
y = -\frac{2}{39}
\][/tex]
Calculate the value:
[tex]\[
y = -0.05128205128205128
\][/tex]
4. Compute [tex]\( y \)[/tex] for [tex]\( x = 12 \)[/tex]:
[tex]\[
y = \frac{9}{13}
\][/tex]
Calculate the value:
[tex]\[
y = 0.6923076923076923
\][/tex]
So, we can build the table with these computed values:
[tex]\[
\begin{array}{c|c}
x & y \\
\hline
-2 & 0.38461538461538464 \\
0 & 0.2727272727272727 \\
5 & -0.05128205128205128 \\
12 & 0.6923076923076923 \\
\end{array}
\][/tex]
Thus, our resultant list of pairs [tex]\((x, y)\)[/tex] is:
[tex]\[
[(-2, 0.38461538461538464), (0, 0.2727272727272727), (5, -0.05128205128205128), (12, 0.6923076923076923)]
\][/tex]
