[Amankris]

Find (h,k)

$O(h,k),A(4,1),L:3x+4y-16=0$


$-1=m_L\cdot m_{OA}=\frac{-3}{4}\cdot \frac{k-1}{h-4}$
$4h-3k=13---*$



$5=d_{O\rightarrow L}=\frac{|3h+4k-16|}{\sqrt{3^2+4^2} }$
$3h+4k=-9,41---**$



$4(*)+3(**); (h,k)=(1,-3),(7,5)$