1103109104

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1103109104
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Let \( 2x-3y+6=0 \) be the equation of the line \( p \) and let \( M \) be the point \( [5;3] \). Find equations of all lines passing through \( M \) and intersecting \( p \) at an angle of \( 45^{\circ} \) (see the picture).
\( x+5y-20=0;\ 5x-y-22=0 \)
\( x+6y-23=0;\ 6x-y-27=0 \)
\( x+4y-17=0;\ 4x-y-16=0 \)
\( x+5y-28=0;\ 5x-y-10=0 \)