Answer: 6
Step-by-step explanation:
The slope of ST is
[tex]\frac{-5-0}{0-(-6)}=-\frac{5}{6}[/tex]
The slope of UV is
[tex]\frac{y-1}{-9-(-3)}=\frac{y-1}{-6}[/tex]
Since parallel segments have the same slope,
[tex]-\frac{5}{6}=-\frac{y-1}{6}\\\\5=y-1\\\\y=6[/tex]
