# Thread: Find the point of intersection, P, of the lines ...

1. ## Find the point of intersection, P, of the lines ...

Find the point of intersection, P, of the lines

L1 = (x-6)/3 = (y - 6)/1 = (z - 2)/4
L2 = (x - 8)/1 = (y - 5)/2 = (z - 4)/2

Thanks

2. oooops...

3. Yeah I got that far, then it said something about multiplying equations 2 * 3 and then adding to equation 1 or something like that and that's where i got confused. I couldn't get it into p(x, y, z) form.

4. and... ooops...

5. Write each in parametric form.
$L_1 :\left\{ \begin{gathered}
x = 6 + 3t \hfill \\
y = 6 + t \hfill \\
z = 2 + 4t \hfill \\
\end{gathered} \right.$
$L_2 :\left\{ \begin{gathered}
x = 8 + s \hfill \\
y = 5 + 2s \hfill \\
z = 4 + 2s \hfill \\
\end{gathered} \right.$

Now solve for the parameters.

6. The equations were right just the algebra was wrong. I just recalculated them and got it correct. Thanks!