Determine vector and parametric equations for the line through the point A(2, 5) with direction ...

1. Determine vector and parametric equations for the line through the point A(2, 5) with direction vector  m = (1, 3).

2. Determine parametric equations for the line through (-2, 3) and parallel to the line with vector equation  r = (2, 1) + t(6, 4).

3. Find vector and parametric equations for the line with equation 2x + y + 3 = 0.

4. Determine parametric equations for the line with scalar equation 4x – y + 5 = 0.

5. A line passes through the point (1, -4) and is perpendicular to the line 3x + 2y – 6 = 0. Determine a scalar equation for the line.