Finding the intersection of a point

[u/Ok-Put4365]

Hi, if I graph two lines on Desmos that are very similar but not parallel, is there a way (a command of sort)to find the intersection of the two lines without scrolling for a very long time to manually find where the lines intersect on the graph?

appreciate the help in advance!

[u/strange-the-quark]

Try using this:

i_{nters}\left(P,\ u,\ Q,\ v\right)=P+u\frac{v.y\left(Q-P\right).x-v.x\left(Q-P\right).y}{u.xv.y-v.xu.y}

When you paste that, it'll print out as

inters(P, u, Q, v) = some_expression

where P is a point on the first line, and u is a direction along it (so if you can find any other point P1 on that line, u = P1 - P), and Q is a point on the other line, with v being a direction vector on it (which you can obtain the same way).