Question

Construct parametric equations describing the graph of the following equation.y = 3x + 8If y = 3 + 1, find the parametric equation for x.

Answer 1

We want to compute the parametric equations for x and y;

$y=3x+8$

We are given;

$y=3+t$

Substituting for x;

$\begin{gathered} 3+t=3x+8 \\ -3x=-t+8-3 \\ -3x=-t+5 \\ x=\frac{t}{3}-\frac{5}{3} \end{gathered}$

Thus, the equation for x is given by;

$x=\frac{t}{3}-\frac{5}{3}$