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given a line has a slope of \\(\\frac{4}{5}\\), what is the slope of a …

Question

given a line has a slope of \\(\frac{4}{5}\\), what is the slope of a line parallel to it?

\\(\frac{4}{5}\\)

\\(-\frac{4}{5}\\)

\\(-\frac{5}{4}\\)

Explanation:

Identify the given slope

$$ m_1 = \frac{4}{5} $$

Apply the parallel line slope condition

$$ m_2 = m_1 = \frac{4}{5} $$

Answer:

  • (A) \(\frac{4}{5}\) (Correct answer)
  • (B) \(-\frac{4}{5}\)
  • (C) \(-\frac{5}{4}\)