Question

1. line d and line e intersect at a right angle. if the slope of line d is 5, what is the slope of line e? -5 5 -1/5 1/5

Explanation:

Step1: Recall the relationship between slopes of perpendicular lines

If two lines are perpendicular, the product of their slopes is \(- 1\). Let the slope of line \(D\) be \(m_D\) and the slope of line \(E\) be \(m_E\). So, \(m_D\times m_E=-1\).

Step2: Substitute the given slope of line \(D\)

Given \(m_D = 5\), we substitute into the formula \(5\times m_E=-1\).

Step3: Solve for \(m_E\)

To find \(m_E\), we divide both sides of the equation \(5\times m_E=-1\) by \(5\). So, \(m_E=\frac{-1}{5}\).

Answer:

\(-\frac{1}{5}\) (corresponding to the option \(-1/5\))