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

Two Lines Are Perpendicular If One Line Has A Slope Of 12 What Is The Slope Of The Other Line class=

Sagot :

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]

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