I need to find the parametric form of $3x – 2y + 10 = 0$.
I found that the parametric form for this equation could be :
\begin{align}x &= t\\
y &= 5 + \frac{3}{2} t
\end{align}
I did this by making $x = t$ and then solving for $y$
However, there are two other parametric forms that I don't know how to get to, could you please help me figure out how to get to them. They are:
\begin{align}
(1)\qquad x &= 2t\quad \text{ and }\quad y = 5 + 3t \\
(2)\qquad x &= 3t\quad \text{ and } \quad y = 5 + \frac{9}{2}t
\end{align}
Any help with be greatly appreciated
Best Answer
Treat $x$ as free variable and solve for $y$ we get $y=(-3x-10)/2$, now you can let $x$ be whatever you like and get the corresponding $y$.