Lisa

The lines intersect the x axis at a distance 7 , 5 , 7/3 , -17/7  

and the slopes of the lines are -1/3 , 1/2 , -3/2 ,  7

hence the sides taken in order are    x+3y-7 = 0

                                                          7x-y+17=0

                                                          3x+2y-7=0

                                                           x-2y-5=0

Solving the equations one by one we get their point of intersections.

and then making the equations of the diagonals we ge:-

1st Diagonal is 4x+5y-7=0,

Similarly the second Diagonal can be found.