# Analytical Geometry – Calculate a line equation using a parallel vector and a point – Exercise 4409

Exercise

Calculate the equation of the line passing through the point

$$(2,1,4)$$

And parallel to the vector

$$\vec{p}=2\vec{i}+5\vec{j}+8\vec{k}$$

$$\frac{x-2}{2}=\frac{y-1}{5}=\frac{z-4}{8}$$