8. On the coordinate plane, four lines $L_{1}, L_{2}, L_{3}, L_{4}$ have the relative positions with respect to the $x$-axis, $y$-axis, and the line $y = x$ as shown in the figure. $L_{1}$ is perpendicular to $L_{3}$, and $L_{3}$ is parallel to $L_{4}$. The equations of $L_{1}, L_{2}, L_{3}, L_{4}$ are $y = m_{1}x$, $y = m_{2}x$, $y = m_{3}x$, and $y = m_{4}x + c$ respectively. Which of the following options are correct? (1) $m_{3} > m_{2} > m_{1}$ (2) $m_{1} \cdot m_{4} = -1$ (3) $m_{1} < -1$ (4) $m_{2} \cdot m_{3} < -1$ (5) $c > 0$ [Figure]
& 2,3,4 & & 19 & 3 & \multirow{3}{*}{I} & 31 & 1
8. On the coordinate plane, four lines $L_{1}, L_{2}, L_{3}, L_{4}$ have the relative positions with respect to the $x$-axis, $y$-axis, and the line $y = x$ as shown in the figure. $L_{1}$ is perpendicular to $L_{3}$, and $L_{3}$ is parallel to $L_{4}$. The equations of $L_{1}, L_{2}, L_{3}, L_{4}$ are $y = m_{1}x$, $y = m_{2}x$, $y = m_{3}x$, and $y = m_{4}x + c$ respectively. Which of the following options are correct?\\
(1) $m_{3} > m_{2} > m_{1}$\\
(2) $m_{1} \cdot m_{4} = -1$\\
(3) $m_{1} < -1$\\
(4) $m_{2} \cdot m_{3} < -1$\\
(5) $c > 0$\\
\includegraphics[max width=\textwidth, alt={}, center]{0ae6c49a-bce7-460f-aba8-c0069d0851f1-4_608_645_532_993}