Find the Line Equation: Points (-2,3) and (0,1)

The line passes through the points $(-2,3),(0,1)$

To find the slope of the line passing through the points $(-2, 3)$ and $(0, 1)$, we use the formula for the slope $m$ between two points $(x_1, y_1)$ and $(x_2, y_2)$:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Substituting the given points $(x_1, y_1) = (-2, 3)$ and $(x_2, y_2) = (0, 1)$, we have:

$m = \frac{1 - 3}{0 - (-2)}$

This simplifies to:

$m = \frac{-2}{2}$

So, the slope is:

$m = -1$

Thus, the slope of the line is $-1$, corresponding to choice 2.