Find the slope of the line passing through the points given below or state that the slope is undefined. Then indicate whether the line through the points rises, falls, is horizontal, or is vertical. $(6,2)$ and $(7,4)$ Select the correct choice below and, if necessary, fill in the answer box within your choice. A. The slope is B. The slope is undefined.

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 \(\frac{y_2 - y_1}{x_2 - x_1}\).

Step 2 ：We can use this formula to calculate the slope of the line passing through the points \((6,2)\) and \((7,4)\).

Step 3 ：If the slope is positive, the line rises; if the slope is negative, the line falls; if the slope is zero, the line is horizontal; and if the slope is undefined (i.e., the denominator of the slope formula is zero), the line is vertical.

Step 4 ：The slope of the line passing through the points \((6,2)\) and \((7,4)\) is 2.0. Since the slope is positive, the line rises.

Step 5 ：Final Answer: The slope is \(\boxed{2.0}\) and the line rises.