Expressions used in Everyday Spoken English in Social and Professional contexts
When you 'take the lead' it means you occupy a position that is in advance or head of others. When you 'take the lead' it can mean you have become the leader and intend to guide others, or that you are in the most advantageous or winning position for example, in a race. To 'take point on' something is to assume an important or key position, usually one which is the most exposed or vulnerable in a group. To 'take point on' is an expression usually used in military situations but might be heard in a business context when someone is expressing that they intend to take the lead or become responsible for something.