Draw up the equation of the straight line passing through the point M (5, 3, 4) and parallel to the vector a = 2i + 5j-8k.

The canonical equation of a straight line in space:
(x – x0) / m = (y – y0) / n = (z – z0) / p;

(x0, y0, z0) – coordinates of point M (5, 3, 4)

a (m, n, p) – direction vector;
a (2, 5, -8);
The canonical equation of the straight line passing through the point M and parallel to the vector a (2, 5, -8) has the form:
(x – 5) / 2 = (y – 3) / 5 = (z – 4) / -8;