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.

Step-by-step 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.