IMathAS-libretexts

Line $\displaystyle {l}$ is given by $\displaystyle {y}={2}-\frac{{4}}{{5}}{x}$ , and the point $\displaystyle {P}$ has the coordinates $\displaystyle {\left({8},{6}\right)}$ . Find the equation of the line containing $\displaystyle {P}$ and perpendicular to $\displaystyle {l}$ .

$\displaystyle {y}=-{4}+\frac{{5}}{{4}}{x}$
$\displaystyle {y}={2}+\frac{{5}}{{4}}{x}$
$\displaystyle {y}={16}+\frac{{5}}{{4}}{x}$

$\displaystyle {y}={16}+\frac{{5}}{{4}}{x}$
$\displaystyle {y}={2}+\frac{{4}}{{3}}{x}$
$\displaystyle {y}=\frac{{1}}{{2}}+\frac{{5}}{{4}}{x}$

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