Step 1 :The slope of a line passing through two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by the formula \(m = \frac{y_2 - y_1}{x_2 - x_1}\).
Step 2 :We can use this formula to find the slope of the line passing through the points \((-1,4)\) and \((-2,3)\).
Step 3 :The slope of the line is \(\boxed{1}\).