Answer
$y = x -1$
Work Step by Step
We are told to find the equation of the line that satisfies the following conditions:
Passes through the points $(-1,-2), (4,3)$
To find the equation of the line we must find the slope: $m = \frac{y_2 -y_1}{x_2 - x_1}$
and then use point slope form: $y−y_1=m(x−x_1)$
$m =\frac{3-(-2)}{4-(-1)} = \frac{5}{5} = 1$
$y− 3=1(x− 4)$
$y=x -4 + 3$
$y = x -1$