1. The problem is to find the equation of the line passing through the points $(-3, -1)$ and $(4, -1)$. 2. First, calculate the slope $m$ using the formula $$ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-1 - (-1)}{4 - (-3)} = \frac{0}{7} = 0 $$ 3. Since the slope is 0, the line is horizontal. 4. The equation of a horizontal line passing through $(-3, -1)$ is simply $$ y = -1 $$ 5. Final answer: The equation of the line through the points $(-3, -1)$ and $(4, -1)$ is $$ y = -1 $$.