After version 11.1
lines={ InfiniteLine[{{0,0},{1,0}}], InfiniteLine[{{0,0},{2,0}}],
InfiniteLine[{{0,1},{1,0}}], InfiniteLine[{{0,1},{4,-3}}] };
DeleteDuplicates[lines, RegionEqual]
{InfiniteLine[{{0, 0}, {1, 0}}], InfiniteLine[{{0, 1}, {1, 0}}]}