Prove and use slope criteria for parallel and perpendicular lines.
Classify horizontal and vertical line relationships
Problem
What is the relationship between the lines \(x=3\) and \(x=-2\)?
Big Picture
What this problem is really about
Read special-form equations geometrically: fixing x creates a vertical line, while fixing y creates a horizontal line. After identifying each direction, compare the constants to decide whether the equations describe one line or distinct lines, then classify the relationship from those directions.
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