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Algebra I
5. CC.HSA.REI.A.1
5.1 Combination of both parallel and perpendicular line equations
Parallel and Perpendicular Lines
Parallel lines share the same slope; perpendicular lines have slopes that multiply to negative 1.
What You'll Learn
Parallel lines have the same slope.
Perpendicular lines have slopes that are negative reciprocals of each other.
Multiplying the slopes of perpendicular lines always gives negative 1.
y = 2x + 1 and y = 2x - 3 are parallel; y = -0.5x + 2 is perpendicular to both.
Combined problems give one line and ask for a parallel or perpendicular partner.
What You'll Practice
1
Finding parallel and perpendicular slopes from equations in slope-intercept form
2
Converting general form equations to y = mx + b to identify slopes
3
Comparing two line equations to determine their relationship
4
Writing new line equations parallel or perpendicular to a given line through a point
Why This Matters
Understanding parallel and perpendicular line equations is essential for coordinate geometry, architectural design, and engineering applications. These skills form the foundation for analyzing geometric relationships in advanced math courses like trigonometry and calculus.
Before You Start — Make Sure You Can:
This Unit Includes
8 Video lessons
Practice exercises
Learning resources
Skills
Slope
Parallel Lines
Perpendicular Lines
Slope-Intercept Form
Linear Equations
Algebra
OH Curriculum Aligned