Question

Construct parametric equations describing the graph of the following equation.x = 3y +3If y = 4 + 1, find the parametric equation for x.

Answer 1

Given:

$x=4y+3,y=4+t$

Required: Parametric equation of y.

Explanation:

Substitute 4+t for y into the equation of x.

$\begin{gathered} x=4(4+t)+3 \\ =16+4t+3 \\ =4t+19 \end{gathered}$

So, the parametric equation for x is x = 4t+19.

Final Answer: The parametric equation of x is x = 4t + 19.