>2017
>not using normal form
Why are you still expressing lines in brainlet form?
>>8561254
>Polar coordinates are obviously intellectually superior to cartesian, even when polar is intractable
sounds like babby just learned precalc.
>>8561254
>>not using normal form
>Why are you still expressing lines in brainlet form?
Why are you still not flexible enough to use the form that's appropriate for the given information?
It's like you missed the whole point of the pic you attached.
>>8561254
Why are you not using superior vector form?:
(x,y) = td + c
where d is the direction vector, c is the position vector of one point on the line, and t is a real parameter?
>>8561322
Because General Form also covers vectors.
>>8561340
>Because General Form also covers vectors.
No it doesn't. The general form doesn't have the concept of "t", which indicates how many displacement vectors d you are away from the starting point c. Basically, t gives you a customizable coordinate expressed in units of d. For example, in physics, you can define the vector d to be 1 cm in length, which allows you to easily use t as a measurement of the location of a point along the line in cm units.
In the vector form, c and d and t all actually MEAN something useful.
In the general form, the only way to extract any meaning from a, b, and c is to calculate expressions like -(a/b) and -(c/a) and -(c/b). The general form is a standard form for algebra, but you pay a price for that because the constants don't have much useful meaning on their own.
>>8561254
>not using general form
lel
>>8561371
A and B are the coordinates of the vector that passes through the line you mong.
>a single straight line
who cares, this is literally babby shit
just use y=mx+b, manipulate as needed
>>8561254
Just because it took you until junior year to learn this concept does not make it challenging or important.
>>8561594
>finding a line perpendicular to a given line
>finding angle from 0 of said line
>junior year
Weer yeh go son, appalachia state community?
>>8561254
>2017
>not working in projective space
it's like you want to be a brainlet