The point (2, -1 , -8) is on the line and the expression (3, 9, 1) represents the family of vectors parallel to the line.
<h3>How to find a point on a line and a vector parallel to the line</h3>
First, we have to find the vector expression of the line function based on the following parametric equations:
t = (x - 2) / 3 (1)
x = 3 · t + 2
t = (y + 1) / 9 (2)
y = 9 · t - 1
t = z + 8 (3)
z = t - 8
(x, y, z) = (2, - 1, - 8) + t · (3, 9, 1) (4)
The point (2, -1 , -8) is on the line and the expression (3, 9, 1) represents the family of vectors parallel to the line.
To learn more on vectors: brainly.com/question/13322477
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