Please note that the expression to raise my point(s) is quite common in conversation. It means that the speaker has just brought "his or her point(s)" up into the discussion. The term "raised point(s)" refers to some ideas or arguments that were put forward by someone in the discussion.
Once someone has raised his or her points, anyone might invite everyone in the discussion to consider the points that were just made, in order to discuss the raised points in further details. One common expression among others is to take the points raised, which means to consider that already mentioned points. For further details on this typical usage, you can read Martha's and Hellion's answers.
My confusion was caused by unfamiliar punctuation (and quite likely, my non-native'ness) which convinced me to interpret that specific line in an unusual way (unusual both for anyone and myself, actually). In case you might be curious, you could read the details in the comments below. (If all you want is the answer to your original question, you don't really need doing so.)
Also note that the word take can mean several things. (Most seemingly simple words are like that. They seem to be easy, but actually, they can convey a wide range of different subtle senses. Quite often, they will convey multiple senses at the same time.) You can read Kaz's answer for more details on take.
The following is my original answer, based on the (mis)understanding that take the points in the question should be interpreted idiomatically. I leave it here because it is a useful piece of information by and in itself.
The phrase take someone's point is idiomatic.
take someone's point
1. (idiomatic) To agree with what a person says; to understand a person's argument and be persuaded by it.
2. (idiomatic) To grasp the essential meaning of what a person is saying.
- (grasp the essential meaning): get someone's point, see someone's point, take someone's meaning