To determine equation of a perpendicular line:
[tex]4x-5y=-1[/tex]Solving the above equation to determine the slope
[tex]\begin{gathered} 4x-5y=-1 \\ \text{comapre to slope intercpet formular} \\ y=\text{ mx+c} \\ -5y=-4x-1 \\ \text{divide through by -5} \\ -\frac{5y}{-5}=-\frac{4x}{-5}-\frac{1}{-5} \\ y=\frac{4}{5}x+\frac{1}{5} \\ m_1=\frac{4}{5} \end{gathered}[/tex]Equation of a perpendiclar line is
[tex]\begin{gathered} m_1m_2=-1 \\ \frac{4}{5}m_2=-1 \\ m_2=-\frac{1}{\frac{4}{5}} \\ m_2=-\frac{5}{4} \end{gathered}[/tex]Then you fill in the points and change the slope to -5/4
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