Find symmetric equations of the line that passes through the point (0,1,2) and meets each of the lines x = y = z + 2 and x/-2 = (y+3)/1 = z/3. Those equations can be written as: r = (0, 0, 2) + t(1, 1, 1) r = (0, -3, 0) + s(-2, 1, 3) Now, I can't seem to find any direction to go with this. I tried a whole lot of different things that all eventually led nowhere. First, I gave co-ordinates to the intersection points and then i created to slopes in between these points. But i eventually came up with equations with like 8 variables in them so I couldn't figure that one out. Can someone lead me in some sort of direction? Any would would be appreciated.