I have two points: (20.33, 16.1, 0.0150) & (20.48, 19, 0.0123), and I would like an equation of the line that connects these two points, but I'm not entirely sure how to do it. Is there a form of Y = MX + B, but in 3-dimensions? Iv'e already got the parametric equations and vector equations, but that doesn't seem to get me what I'm looking for. I would like to be able to enter in two values, say Y & Z, and then find out what X is. The vector equation is:
(x-0.15)/20.33 = (y-2.9)/16.1 = (z+0.0027)/0.0150
I'm not sure if what I'm asking is impossible or not... Instead of just plugging in X, and calculation Y and Z - I would like to plug both X and Y, and calculate Z.
Thanks so much for any feedback!
- Cole
Given two points $P$ and $Q$, an equation for the line connecting them is $P+(1-t)Q$, where $t$ is the parametric variable for the line.