Hi, I also could not figure out how to solve this problem.

For what value of K will the line x-k/3 = y+4/2 = z+6 intersect the plane x-4y+5z+5=0

a) in a single point

b) in an infinite number of points

c) in no points

I tried plugging in the parametric equations of the line into the scalar equation, but I'm not sure how to isolate and solve for k.

If anyone has any ideas, that would be greatly appreciated.

Thanks,

Sam