Answer
$x=t$ and $y=-\dfrac{5}{4}t+\dfrac{7}{4}$ and $-1\leq t \leq 3$
(Other answers are possible.)
Work Step by Step
The slope of a line between two points can be found as:
$m=\dfrac{-2-3}{3-(-1)}=-\dfrac{5}{4}$
Now, $y-y_0=m(x-x_0) \implies y-(-2)=-\dfrac{5}{4}(x-3)$
This implies that
$y=-\dfrac{5}{4}x+\dfrac{7}{4}$
Consider $x=t$
Then $y=-\dfrac{5}{4}t+\dfrac{7}{4}$ and $-1\leq t \leq 3$
