Question

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

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

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.