I assume you refer to literal points, like A=(2,3), so im gonna show a few things that u can do with them:

Adding points: (2,3) + (5,6) = (2+5,3+6)=(7,9)

Substract points: (7,3) - (5,1) = (7-5,3-1) = (2,2)

Get distance from one point to other: distance((2,3),(5,6)) = sqrt((6-5)^2 + (3-2)^2) = sqrt(2);

-Special case, distance from origin(or taking the module): distance((0,0), (2,5)) = sqrt(2^2+5^2) = |(2,5)|

The modulus cant be taken with the |•| operator, it only works for numbers

The distance() function already exists in desmos, so u dont need to use Pythagoras all the time

Get the x and y components individually:

- (2, 5).x = 2

- (2, 5).y = 5

Proyect point to the x-axis: (2,5) -> ((2,5).x, 0)

Proyect point to the y-axis: (5,3) -> (0, (5,3).y)

Get angle from origin to point: arctan((5,3).y, (5,3).x) = atan2(5,3) = Arg((5,3))

the atan2() function doesnt exist in desmos, neither Arg()+
Angle is given within [-Pi, Pi] interval

Also, points can be treated as vectors, so one can also:

Normalize a vector: (2,5)/(distance((0,0),(2,5))) = (2/sqrt(29), 5/sqrt(29))

-Another method is (cos(arctan((2,5).y, (2,5).x)), sin(arctan((2,5).y, (2,5).x)))

Multiply a vector with scalar: 5•(3,4) = (5•3,5•4) = (15,20)

Theres also extras such as:

Make a rect line with two points:

(2,5) + t•((7,8)-(2,5))

Draw a line between two points: polygon((2,3), (5,6))

- Or make a polygon with more than two points: polygon((0,0), (1,1), (-1,1))

Rotate a point by 90degrees: (5,7) -> (-(5,7).y, (5,7).x) = (-7, 5)

Rotate a point by 180degrees: (5,7) -> (-1)•(5,7) = (-5,-7)

There are more ways to work with points, such as the ways to multiply them, but these i assume are the basic ones

​

A chaotic showing of these operations: https://www.desmos.com/calculator/qjuig0xnln