Parametric to Cartesian conversion of a line

Steps

1. Isolate each dimension into its own equation, assigning a unique variable
2. Rearrange reach equation to make  the subject
3. Equate the rearranged equations

Example

Given

Then…

let

Therefore

Split each dimension

Rearrange to make  the subject

Equate the equations

…

Cartesian to Parametric conversion of a line

Steps

1. Equate each cartesian equation with
2. Rearrange reach equation to make the  term the subject
3. Separate the terms in the equation from the terms with

4. Join the terms

Example

Given

Then…

let