This math topic focuses on determining the equations of lines in standard form that are perpendicular to given lines. The given lines are in slope-intercept form, and the task is to choose among multiple standard form equations which one correctly represents a line perpendicular to the given line. This exercises the understanding of slope relationships between perpendicular lines and conversions between different forms of linear equations. It's aimed at enhancing skills in handling equations of lines, specifically focusing on slopes and their properties in the context of perpendicular lines.