Answer
$x=t$
$y=-\dfrac{5}{4}t+\dfrac{7}{4};(-1\leq t \leq 3)$
(other answers are also possible)
Work Step by Step
The slope of a line between two points is defined as follows:
$m=\dfrac{-2-3}{3-(-1)}=-\dfrac{5}{4}$
The point-slope equation is: $y-y_0=m(x-x_0)$
This implies that $s y-(-2)=-\dfrac{5}{4}(x-3)=-\dfrac{5}{4}x+\dfrac{7}{4}$
Let us consider $x=t$
Then, we get $y=-\dfrac{5}{4}t+\dfrac{7}{4}$
Hence, $x=t$
$y=-\dfrac{5}{4}t+\dfrac{7}{4};(-1\leq t \leq 3)$
(other answers are also possible)
