appoint, a point

Appoint or appoint ( one word ) means to name or select to fill a position or office--
Who will the president appoint to fill the position?
He hopes that the governor will appoint him to the post.

A point or a point ( two words ) means one ( a ) sharp or tapered end--
Don't use the blunt end; use the end that comes to a point.
A point also means one ( a ) detail of an argument or idea--
He missed a point, and an important one.
A point also means one ( a ) purpose or goal--
This discussion doesn't seem to have a point.
A point also means one ( a ) dot or period--
You should have put a point after the second number. Your decimal point is in the wrong place.
A point also means one ( a ) particular location--
We're at a point where it would be more trouble to turn back.
A point also means one ( a ) particular stage in a process--
He reached a point where he couldn't stomach his job any longer.
A point also means one ( a ) number added to a score, as in a game, or a school grade--
The teacher offered to raise his grade a point for each late assignment handed in.
Your team will score a point for each correct answer.

Now that you know that, you can say--
"He made a point, and a good one, about which candidate the chairman should appoint to the office."

Note--"appoint" is a verb ( action word ), with all of the ususal verb forms--
I appoint, you appoint, he appoints, she appoints. We are appointing. Yesterday we appointed.

Note # 2--"appointment" means the act of selecting someone to fill an office--
The appointment will be on the evening news.
"Appointment" also means the office or job for which someone has been selected--
I'm sure he will do a good job in his new appointment.

"Appointment" also means an agreement to meet at a certain time--
We have an appointment for lunch tomorrow.
You have a doctor's appointment at 10 a.m.

Note # 3--You may see the borrowed French expression "à point", meaning medium rare, when ordering steak, or meaning cooked just right--
I'd like a steak à point and a salad.
Make sure you cook it just à point, and no more.

Note # 4--"disappoint" means to make someone unhappy by failing to fulfill a promise or expectation--
I hate to disappoint them, but we just can't make it tonight.