Geometry
Classify Lines from Slopes Worksheets
Decide whether distinct lines are parallel, perpendicular or neither from their slopes, including fractions, zero and undefined slopes.
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Parallel and Perpendicular Slopes Worksheets
Find both parallel and perpendicular slopes from integer or fractional slopes, with explicit zero and undefined slope practice.
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For each given slope, supply a parallel slope and a perpendicular slope.
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A parallel line keeps the given slope. A perpendicular line uses its negative reciprocal.
Learning objective
What this activity builds
Distinguish equal slopes, negative reciprocals, and horizontal or vertical cases.
Worked example
A line has slope -3/4. Find parallel and perpendicular slopes.
Parallel: -3/4. Perpendicular: 4/3.
Parallel slopes are equal. The product (-3/4)(4/3) equals -1.
Teaching notes
Make the practice count
- Keep the same slope for a parallel line.
- Zero and undefined form the horizontal–vertical perpendicular pair.
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Ten slope tasks include positive and negative fractions plus explicit zero and undefined cases.
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Related activities
Geometry
Perpendicular Line Through a Point Worksheets
Write perpendicular line equations through a given point, including exact fractional slopes and horizontal or vertical cases.
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