Identify which two lines are parallel. (1 point) \( \begin{array}{l}y=\frac{2}{3} x-6 \text { and } y=-\frac{3}{2} x-6 \\ y=\frac{1}{2} x+3 \text { and } y=\frac{1}{2} x-5 \\ y=\frac{1}{3} x+4 \text { and } y=\frac{1}{3} x+4 \\ y=-\frac{1}{2} x+6 \text { and } y=\frac{1}{2} x-8\end{array} \)

Parallel lines have the same slope, meaning they will never intersect. In the given options, the two lines \( y=\frac{1}{2} x+3 \) and \( y=\frac{1}{2} x-5 \) both have a slope of \( \frac{1}{2} \). Thus, these two lines are parallel. Additionally, the lines \( y=\frac{1}{3} x+4 \) and \( y=\frac{1}{3} x+4 \) are actually the same line, which also means they are parallel to each other, as any line is parallel to itself! Just a fun fact: if you ever see two lines that share the same equation, they've won the parallelism jackpot!