Question

question 3 of 10

the lines shown below are perpendicular. if the green line has a slope of \\(\frac{1}{7}\\), what is the slope of the red line?

a. \\(\frac{1}{7}\\)

b. \\(-\frac{1}{7}\\)

c. 7

d. -7

Explanation:

Identify the given slope

$$ m_1 = \frac{1}{7} $$

Apply the perpendicular slope relationship

$$ m_2 = -\frac{1}{m_1} = -\frac{1}{\frac{1}{7}} = -7 $$

Answer:

• (A) \(\frac{1}{7}\)
• (B) \(-\frac{1}{7}\)
• (C) \(7\)
• (D) \(-7\) (Correct answer)