Okay so in this problem I had to find the equations of a line given a point and a vector.

The point is (1,5,2) parallel to the vector<4,3,7>

so i got this parametric equation:

x-1/4 =y-5/3=z-2/7

I set x = 0 and I'm not really sure what to do from here to find the YZ plane intersection. I have the answer, but i think I maybe doing the algebra wrong.

(0,17/4,1/4)

After setting the x=0 I can't arrive to these points. Can someone help explain this to me? This is the first thing in Calc III I'm having any difficulty with, everything else has been easy.