Question

1. for line b with slope -2, what would be the slope of a line perpendicular to it? 2 -1/2 -2 1/2

Explanation:

Step1: Recall the formula for perpendicular slopes

If two lines with slopes \(m_1\) and \(m_2\) are perpendicular, then \(m_1\times m_2=- 1\). Let \(m_1=-2\) (slope of line B), and we need to find \(m_2\).

Step2: Solve for \(m_2\)

Substitute \(m_1 = - 2\) into \(m_1\times m_2=-1\). We get \(-2\times m_2=-1\). Then \(m_2=\frac{-1}{-2}=\frac{1}{2}\).

Answer:

\(\frac{1}{2}\) (the fourth option)