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