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question 10 of 10 if two lines are perpendicular, their slopes are nega…

Question

question 10 of 10

if two lines are perpendicular, their slopes are negative reciprocals.

a. true
b. false

Explanation:

Analyze the definition of perpendicular slopes

$$ m_1 \cdot m_2 = -1 \implies m_2 = -\frac{1}{m_1} $$

Evaluate the statement

The statement "If two lines are perpendicular, their slopes are negative reciprocals" is mathematically correct for non-vertical and non-horizontal lines.

Answer:

  • A. True (Correct answer)
  • B. False