Parallel and Perpendicular Lines

Find the equation of lines parallel to given lines

Write the slope-intercept equation of each line that passes through the given point and is parallel to the given line.

\(5x + y = -7\)

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).