Practice
Parallel and Perpendicular Lines Practice
Fifty original slope, equation, coordinate, special-case, and graph questions.
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Question 1
Explanation
Distinct nonvertical parallel lines have equal slopes.
Question 2
Explanation
Distinct nonvertical parallel lines have equal slopes.
Question 3
Explanation
Distinct nonvertical parallel lines have equal slopes.
Question 4
Explanation
Distinct nonvertical parallel lines have equal slopes.
Question 5
Explanation
Distinct nonvertical parallel lines have equal slopes.
Question 6
Explanation
The perpendicular slope is the negative reciprocal: \(-1/2=-0.5\), and the product is \(-1\).
Question 7
Explanation
The perpendicular slope is the negative reciprocal: \(-1/-3=0.3333333333333333\), and the product is \(-1\).
Question 8
Explanation
The perpendicular slope is the negative reciprocal: \(-1/0.5=-2\), and the product is \(-1\).
Question 9
Explanation
The perpendicular slope is the negative reciprocal: \(-1/-0.25=4\), and the product is \(-1\).
Question 10
Explanation
The perpendicular slope is the negative reciprocal: \(-1/4=-0.25\), and the product is \(-1\).
Question 11
Explanation
Both slopes are \(1\), but the intercepts differ, so the lines are distinct and parallel.
Question 12
Explanation
Both slopes are \(2\), but the intercepts differ, so the lines are distinct and parallel.
Question 13
Explanation
Both slopes are \(3\), but the intercepts differ, so the lines are distinct and parallel.
Question 14
Explanation
Both slopes are \(4\), but the intercepts differ, so the lines are distinct and parallel.
Question 15
Explanation
Both slopes are \(5\), but the intercepts differ, so the lines are distinct and parallel.
Question 16
Explanation
The required slope is \(1\). Substituting the point into point-slope form gives the correct equation.
Question 17
Explanation
The required slope is \(2\). Substituting the point into point-slope form gives the correct equation.
Question 18
Explanation
The required slope is \(3\). Substituting the point into point-slope form gives the correct equation.
Question 19
Explanation
The required slope is \(4\). Substituting the point into point-slope form gives the correct equation.
Question 20
Explanation
The required slope is \(5\). Substituting the point into point-slope form gives the correct equation.
Question 21
Explanation
The required slope is \(-1\). Substituting the point into point-slope form gives the correct equation.
Question 22
Explanation
The required slope is \(-0.5\). Substituting the point into point-slope form gives the correct equation.
Question 23
Explanation
The required slope is \(-0.3333333333333333\). Substituting the point into point-slope form gives the correct equation.
Question 24
Explanation
The required slope is \(-0.25\). Substituting the point into point-slope form gives the correct equation.
Question 25
Explanation
The required slope is \(-0.2\). Substituting the point into point-slope form gives the correct equation.
Question 26
Explanation
Both lines have slope \(1\) and different intercepts.
Question 27
Explanation
Both lines have slope \(2\) and different intercepts.
Question 28
Explanation
Both lines have slope \(3\) and different intercepts.
Question 29
Explanation
Both lines have slope \(4\) and different intercepts.
Question 30
Explanation
Both lines have slope \(5\) and different intercepts.
Question 31
Explanation
Their slopes \(1\) and \(-1\) multiply to \(-1\).
Question 32
Explanation
Their slopes \(2\) and \(-0.5\) multiply to \(-1\).
Question 33
Explanation
Their slopes \(3\) and \(-0.3333333333333333\) multiply to \(-1\).
Question 34
Explanation
Their slopes \(4\) and \(-0.25\) multiply to \(-1\).
Question 35
Explanation
Their slopes \(5\) and \(-0.2\) multiply to \(-1\).
Question 36
Explanation
Distinct vertical lines are parallel.
Question 37
Explanation
Distinct horizontal lines have slope zero and are parallel.
Question 38
Explanation
A vertical and horizontal line meet at a right angle.
Question 39
Explanation
Distinct vertical lines are parallel.
Question 40
Explanation
A vertical and horizontal line meet at a right angle.
Question 41
Explanation
Set \((k-2)/4=1\), so \(k=6\).
Question 42
Explanation
Set \((k-2)/4=2\), so \(k=10\).
Question 43
Explanation
Set \((k-2)/4=3\), so \(k=14\).
Question 44
Explanation
Set \((k-2)/4=4\), so \(k=18\).
Question 45
Explanation
Set \((k-2)/4=5\), so \(k=22\).
Question 46
Explanation
The required slope is \(-1/1\). Thus \((k-1)/1=-1/1\), so \(k=0\).
Question 47
Explanation
The required slope is \(-1/2\). Thus \((k-1)/2=-1/2\), so \(k=0\).
Question 48
Explanation
The required slope is \(-1/3\). Thus \((k-1)/3=-1/3\), so \(k=0\).
Question 49
Explanation
The required slope is \(-1/4\). Thus \((k-1)/4=-1/4\), so \(k=0\).
Question 50
Explanation
The required slope is \(-1/5\). Thus \((k-1)/5=-1/5\), so \(k=0\).
Keyboard: use Tab to move, arrow keys to change answer choices, and Enter to check an answer.
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Questions to review
No mistakes this time. Excellent work.
- Question 1Parallel slopeEasy
- Question 2Parallel slopeEasy
- Question 3Parallel slopeEasy
- Question 4Parallel slopeEasy
- Question 5Parallel slopeEasy
- Question 6Perpendicular slopeEasy
- Question 7Perpendicular slopeEasy
- Question 8Perpendicular slopeEasy
- Question 9Perpendicular slopeEasy
- Question 10Perpendicular slopeEasy
- Question 11Classify line relationshipEasy
- Question 12Classify line relationshipEasy
- Question 13Classify line relationshipEasy
- Question 14Classify line relationshipEasy
- Question 15Classify line relationshipEasy
- Question 16Write parallel lineMedium
- Question 17Write parallel lineMedium
- Question 18Write parallel lineMedium
- Question 19Write parallel lineMedium
- Question 20Write parallel lineMedium
- Question 21Write perpendicular lineMedium
- Question 22Write perpendicular lineMedium
- Question 23Write perpendicular lineMedium
- Question 24Write perpendicular lineMedium
- Question 25Write perpendicular lineMedium
- Question 26Graph line relationshipsMedium
- Question 27Graph line relationshipsMedium
- Question 28Graph line relationshipsMedium
- Question 29Graph line relationshipsMedium
- Question 30Graph line relationshipsMedium
- Question 31Graph line relationshipsMedium
- Question 32Graph line relationshipsMedium
- Question 33Graph line relationshipsMedium
- Question 34Graph line relationshipsMedium
- Question 35Graph line relationshipsMedium
- Question 36Special line casesMedium
- Question 37Special line casesMedium
- Question 38Special line casesMedium
- Question 39Special line casesMedium
- Question 40Special line casesMedium
- Question 41Missing coordinate for parallel linesHard
- Question 42Missing coordinate for parallel linesHard
- Question 43Missing coordinate for parallel linesHard
- Question 44Missing coordinate for parallel linesHard
- Question 45Missing coordinate for parallel linesHard
- Question 46Missing coordinate for perpendicular linesHard
- Question 47Missing coordinate for perpendicular linesHard
- Question 48Missing coordinate for perpendicular linesHard
- Question 49Missing coordinate for perpendicular linesHard
- Question 50Missing coordinate for perpendicular linesHard