Write the parametric equations x=3t - 1, y=3 - 3t as a function of x in the Cartesian form. y =?

Question
Write the parametric equations \(x=3t\ -\ 1,\ y=3\ -\ 3t\) as a function of x in the Cartesian form. \(y =?\)

Answers (1)

2020-10-20
Step 1 Given: \(x = 3t\ -\ 1\ and\ y = 3\ -\ 3t\) Step 2 \(y =\ -(3t\ -\ 3)\)
\(y =\ -(3t\ -\ 1\ -\ 2)\) ..(1) put \(3t\ -\ 1 = x\) in equation (1) \(y =\ -(x\ -\ 2)\) Hence, \(y=\ -x\ +\ 2\) is the required cartesian form of the given parametric equations.
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