How many different lines pass through a 3x3-point grid if a line only needs two points?

How many different lines pass through a 3x3-point grid if a line only needs two points?

Step-by-step explanation:

The answer being (93)=9! 3! 6! =9⋅8⋅73⋅2⋅1=84 possible arrangements.

Well, there are 9 points. If you choose 2 of them, that gives a straight line. So you can try to find all the ways you can choose two points.

But you over-count, because some lines go through three points. So the question is 1: How many lines go through 3 points? And 2: How many times have you 'over-counted' these lines?

Step-by-step explanation:

the clues that signal the reader should change tone are the punctuation marks, the grammatical signs. for example, the quotation marks at the beginning of something someone else said literally or the exclamation marks.

the tone of the first line of dialogue until "gettysburg" is a kind tone, a tone of advise. the narrator is trying to the other person in doing something he or she obviously is finding hard to do by giving a piece of advise and bringing up a memory of a successful similar case.

the clue that the reader understand how to read the word "bang" is the exclamation mark. it gives the word a surprise tone, a strong accent.

the best tone for reading the word "bang" is an exciting tone, a surprise one, even a loud one.

the words that should be read with a formal tone are the ones that give factual information. the sentence: mister lincoln couldn't think of anything to say at the gettysburg" gives information about an event and it needs to be read formally, also, when the narrator wants to transmit calmness, a formal and slow tone is needed, because people also transmit messages with the vibrations of our voices and tones.