Question

two lines are perpendicular If one line has a slope of 1/2 what is the slope of the other line ?

Answer 1

Answer:

The slope of the other line is;

$m_2=-2$

Explanation:

Given that the two lines are perpendicular to each other and the slope of one line is;

$m_1=\frac{1}{2}_{}_{}$

Recall that when two lines are perpendicular their slopes are negative reciprocal of each other;

$\begin{gathered} m_1m_2=-1 \\ m_2=-\frac{1}{m_1} \end{gathered}$

Substituting the given values;

$\begin{gathered} m_2=-\frac{1}{m_1}=\frac{-1}{(\frac{1}{2})} \\ m_2=-\frac{2}{1} \\ m_2=-2 \end{gathered}$

Therefore, the slope of the other line is;

$m_2=-2$