Question

Write parametric equations of the line with the equation 4x-6y=-12

Answer 1

To solve this problem you must apply the proccedure shown below:

1- You have the following equation given in the problem above:

$4x-6y=-12$

2- You can write as two different parametric equations:

A) - Solve for $y$:

$4x-6y=-12\\6y=12+4x\\ y=\frac{12+4x}{6}$

- Write $x=t$ and substitute it into the equation above:

$y=\frac{12+4t}{6}$

B) - Sove for $x$:

$x=\frac{6y-12}{4}$

- When you substitute $y=t$ into the equation above, you obtain:

$x=\frac{6t-12}{4}$

The answer is: $x=t; y=\frac{12+4t}{6} \\ y=t; x=\frac{6t-12}{4}$