Answer
$\begin{cases}
x=t\\
y=-t+1
\end{cases}$
with $-1\leq t\leq 3$
Work Step by Step
Determine the slope of the line:
$m=\dfrac{3-(-1)}{-2-2}=-1$
The equation of the line is:
$y-5=1(x-7)$
$y-(-2)=-(x-3)$
$y+2=-x+3$
$y=-x+3-2$
$y=-x+1$
Find parametric equations that define the given line:
$\begin{cases}
x=t\\
y=-t+1
\end{cases}$
with $-1\leq t\leq 3$
