Determine vector and parametric equations for the line through the point (2, 1) and parallel to the line with equation (x, y) = (3, -8) + t(-3, -2).

Answer 1

For your given vector equation (x, y) = (3, -8) + t(-3, -2)
the parametric equation would be
x = 3 - 3t
y = -8 - 2t

Form the new equation. Keep in mind that, since it is parallel to the above, the direction must be the same