Question

question 9 of 19
lines m and p are perpendicular. if the slope of line m is -3, what is the slope of line p?

a. -\frac{1}{3}
b. 3
c. \frac{1}{3}
d. -3

Explanation:

Step1: Recall perpendicular slope rule

For two perpendicular lines, the product of their slopes is \( -1 \). Let slope of \( m \) be \( m_1 = 3 \), slope of \( p \) be \( m_2 \). Then \( m_1\times m_2=-1 \).

Step2: Solve for \( m_2 \)

Substitute \( m_1 = 3 \) into \( 3\times m_2=-1 \), so \( m_2 = -\frac{1}{3} \).

Answer:

A. $-\frac{1}{3}$ (assuming the slope of line \( m \) is \( 3 \), and lines \( m \) and \( p \) are perpendicular, the slope of \( p \) is the negative reciprocal, so \( -\frac{1}{3} \))