Question

Write a vector equation of the line that passes through point P(-4,11) and is parallel to a=[-3,8]. Then write parametric equations of the line.

Answer 1

`\vec l = (-4, 11) + t\cdot (-3,8)`,
`x = -4 - 3\cdot t` and
`y = 11 + 8\cdot t`

Explanation:

The vector equation of the line is:

`\vec l = \vec P + t \cdot \vec A`

`\vec l = (-4, 11) + t\cdot (-3,8)`

The parametric equations of the line are:

`x = -4 - 3\cdot t` and
`y = 11 + 8\cdot t`