Coordinate Geometry

In the $XY$ coordinate plane, lines $l_1$ and $l_2$ intersect at $(2, 4).$ If the equation of $l_1$ is $y=px+16$ and the equation of $l_2$ is $y=mx+p,$ where $m$ and $p$ are constants, what is the value of $m?$

A. $1/5$
B. $1$
C. $3$
D. $5$
E. $7$

The OA is D

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