There's really no right or wrong way to draw them - it's more about what works for you and how it fits into how you intend to trade.
For me, rather than just looking to connect points on a chart, I want to understand what has gone on at a price level previously so that I can understand what might happen if price returns to this level.
Volume can help with that, especially if you can separate out up volume from down volume, and active volume from passive volume. And anything such as volume profile or all the bookmap type products that are available nowadays can help with that.
If you can see the market has been supported at a particular price level previously, ask yourself how this happened. Did interest from active sellers simply run dry at this level? Were there large passive buyers reloading the bid and absorbing the sell orders? Did active buyers suddenly step in at this price level and then "chase" the market higher?
Once you have an idea about what has happened at a particular price level, then rather than drawing a line through it just because it's there, you can draw a line that can act as an opportunity. The next time price returns to this level you can decide how you will act.
If you think the market is weak, overall, but has been supported by buyers at a particular level who have large institutional orders that they need to fill, then when the orders are filled and price eventually breaks down through that level there's a good chance it might continue lower (I'm giving this as an example scenario).
The stories we tell ourselves about support and resistance may not always be correct, but they enable us to form a plan to act upon - "if X happens then I will do Y".