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Create an equation of a line that is perpendicular to  

Create An Equation Of A Line That Is Perpendicular To class=

Sagot :

Given an equation of the line of the following form:

[tex]y=mx+b[/tex]

we know that 'm' denotes the slope of the line, then, the slope of a perpendicular line can be found with the following equation:

[tex]m_p=-\frac{1}{m}[/tex]

in this case, we have the following:

[tex]\begin{gathered} m=-\frac{1}{5} \\ \Rightarrow m_p=-\frac{1}{-\frac{1}{5}}=5 \\ m_p=5 \end{gathered}[/tex]

therefore, an equation fo a line that is perpendicular to y = -1/5x+4 is:

[tex]y=5x+4[/tex]

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