Answer:
The slope of the other line is;
[tex]m_2=-2[/tex]
Explanation:
Given that the two lines are perpendicular to each other and the slope of one line is;
[tex]m_1=\frac{1}{2}_{}_{}[/tex]
Recall that when two lines are perpendicular their slopes are negative reciprocal of each other;
[tex]\begin{gathered} m_1m_2=-1 \\ m_2=-\frac{1}{m_1} \end{gathered}[/tex]
Substituting the given values;
[tex]\begin{gathered} m_2=-\frac{1}{m_1}=\frac{-1}{(\frac{1}{2})} \\ m_2=-\frac{2}{1} \\ m_2=-2 \end{gathered}[/tex]
Therefore, the slope of the other line is;
[tex]m_2=-2[/tex]
