Find the length of the perpendicular from the point `4, -7)` to the line joining the origin and the point of intersection of the lines `2x-3y+14=0 and 5x+4y-7=0`.

Find the point of intersection of the lines 2x-3y+8=0 and 4x+5y=6

Find the length of the perpendicular draw from the point (4,7) upon the straight line passing through the origin and the point of intersection of the lines 2x-3y+14=0 and 5x+4y=7

Find the point of intersection of the line 5x+7y=3 and 2x-3y=7

Find the length of perpendicular from point (3,-2) to the line 3x-4y-2=0 .

Find the length of perpendicular from the point A(1,4,-2) to the line joining (2,1,-2) and (0,-5,1)

Find the equation of the line joining the point (3,5) to the point of intersection of the lines 4x+y-1=0 and 7x-3y-35=0