Answer
$x=t$; $y=\dfrac{4}{5}t-\dfrac{11}{5}$ and $-1\leq t \leq 4$
(Other answers are possible.)
Work Step by Step
The slope of a line between two points can be found as:
$m=\dfrac{1-(-3)}{4-(-1)}=\dfrac{4}{5}$
Now, $y-y_0=m(x-x_0) \implies y-1=\dfrac{4}{5}(x-4)$
This implies that
$y=\dfrac{4}{5}x-\dfrac{11}{5}$
Consider $x=t$
Then $y=\dfrac{4}{5}t-\dfrac{11}{5}$ and $-1\leq t \leq 4$
