Find the slope of the line passing through the pair of points or state that the slope is undefined. Then indicate whether the line through the points rises, falls, is horizontal, or is vertical \( (-4,5) \) and \( (4,6) \) Select the correct choice below and, if necessary, fill in the answer box within your choice. A. The slope is \( \square \) (Simplify your answer.) B. The slope is undefined.

To find the slope of the line passing through the points \((-4, 5)\) and \( (4, 6)\), we use the formula for slope \(m = \frac{y_2 - y_1}{x_2 - x_1}\). Here, \(y_2 = 6\), \(y_1 = 5\), \(x_2 = 4\), and \(x_1 = -4\). Plugging in the values, we get: \[ m = \frac{6 - 5}{4 - (-4)} = \frac{1}{4 + 4} = \frac{1}{8}.\] So, A. The slope is \(\frac{1}{8}\). Since the slope is positive and non-zero, this indicates that the line rises as it moves from left to right.