Answer
$\begin{cases}
x=t\\
y=t-2
\end{cases}$
with $2\leq t\leq 7$
Work Step by Step
Determine the slope of the line:
$m=\dfrac{5-0}{7-2}=1$
The equation of the line is:
$y-5=1(x-7)$
$y-5=x-7$
$y=x-7+5$
$y=x-2$
Find parametric equations that define the given line:
$\begin{cases}
x=t\\
y=t-2
\end{cases}$
with $2\leq t\leq 7$
