Question

Write a vector equation of the line that passes through point P(1,5) and is parallel to a(-7,2). Then write parametric equations of the line.

Answer 1

`\vec l = (1,5) + t\cdot (-7,2)`,
`x = 1 - 7\cdot t` and
`y = 5 + 2\cdot t`

Explanation:

The vector equation of the line is:

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

`\vec l = (1,5) + t\cdot (-7,2)`

The parametric equations of the line are:

`x = 1 - 7\cdot t` and
`y = 5 + 2\cdot t`