Question

Eliminate the parameter. x = 5t, y = t + 8

Answer 1

$\bf \begin{cases} x=5t\implies \frac{x}{5}=\boxed{t}\\ y=t+8\\ ----------\\ y=\boxed{\frac{x}{5}}+8 \end{cases}$

Answer 2

Answer:

$y=\frac{1}{5}x+8$

Step-by-step explanation:

The parametric equations are

x = 5t...(i)

y = t+8...(ii)

We have to eliminate the parameter t

From equation (i), find the value of t

$t=\frac{1}{5}x$

Substituting this value in (ii)

$y=\frac{1}{5}x+8$

Therefore, on eliminating the parameter t, we have the equation

$y=\frac{1}{5}x+8$