"How to sound convincing?" isn't really a software question, and just because you've added "when talking about software" doesn't make it so. You could make the topic anything and the answer is essentially the same.
You didn't ask, "When is a waterfall approach preferred to an agile approach?" or anything specifically related to software. (Although I'm sure that question has been asked previously).
This question should be closed. But I'll answer anyway, because I think it's interesting.
First, you don't want to "sound convincing." You want to BE convincing.
The best way to be convincing is to be confident. A confident person is persuasive.
Confidence is communicated in a number of ways, many of them non-verbal. Confidence or a lack of confidence is silently inferred by observers based on the speaker's
- Eye contact. This is #1. lack of eye contact, looking around the room when speaking = bad. Steady eye contact (without a charlie manson "LOCK ON" effect) = good.
- physical comportment. Neat clothing, sitting up straight, hands calm = good. Slouching, messy appearance = bad.
- body language. Turned away, folded arms = bad, defensive. Directly facing partner, arms open and relaxed = good, non-threatened and non-threatening.
- tone, volume, and rate of speech. Calm and measured, with good forceful volume = good. Rushed, staccato = not as good. Too Loud = not good. Too quiet = not good.
- appropriate formality. "dude, this one project I was on was sooo friggin radical." = bad. "I can speak from my professional experiences...." = good
- empathic attractiveness. If they like you, they will believe you. That means use the person's name, immediately after learning it. "Hello, John" is better than "Hello". Let them see your hands. Remain positive and constructive.
- willingness to engage. A direct response = good. Diversionary tactics = bad. No one diverts on purpose, but you will do so reflexively if you lack confidence in yourself around a particular topic.
All this comes from practice. People judge you, implicitly and instinctively, within 7 seconds of first meeting you. Therefore it's important to smile, deliver a firm handshake (but not too firm), introduce yourself in a professional manner, and exchange pleasantries in the very first moment you meet a potential client, employer, or boss.
The last thing that is super important to confidence is competence. You must be comfortable with your own competence. You must have a solid belief in your own competence in order to project that to others. If you are in doubt of your own abilities, that will be communicated, in some way, no matter how hard you try not to do so.
If you lack confidence in this or that particular area of questioning, read up on it, discuss it, understand it better. And then, you will gain confidence.