Parallel and Perpendicular Lines

Determine if two lines are parallel, perpendicular, or neither (mixed forms)

For each pair of lines, determine if they are parallel, perpendicular, or neither.

\(\begin{cases}5x + y = 0\\y = -5x-7\end{cases}\)

Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point).