I am looking to find the $ x_1, y_1 $ coordinate that is distance $d$ from a starting point of $x_0, y_0$ coordinate as traveled along a line ($y=mx+b$)
I was going to ask this question here, but I found that it had already been asked: Finding a point along a line a certain distance away from another point!
The answer looks simple, but it uses vector based math. I think I did some of that in school, but I have long forgotten how to do it, and some googling did not help.
So I thought I would ask someone to explain that answer by walking through some real numbers.
Say I have a starting point of $3_0,4_0$ and an end point of $9_2, 13_2$. If I travel a distance of $3$, what is my $x_1, y_1$ coordinates? (Note that these numbers are totally made up for this question, but are representative of the problems I am trying to solve.)
If someone could walk me through the using the equations in that answer I would be grateful.
NOTE: In case anyone is interested why I need this, I am doing a video game and I am trying to calculate the movement of a particle along a given trajectory in between each draw cycle.