\( 1 \leftarrow \) 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. \( (6,4) \) and \( (7,6) \) 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. View an example Get more help -

To find the slope of the line passing through the points \( (6,4) \) and \( (7,6) \), we use the slope formula \( m = \frac{y_2 - y_1}{x_2 - x_1} \). Here, \( (x_1, y_1) = (6, 4) \) and \( (x_2, y_2) = (7, 6) \), so: \[ m = \frac{6 - 4}{7 - 6} = \frac{2}{1} = 2. \] Therefore, the slope is 2, which means the line rises. The line through these points does not just have a numerical slope but also tells a story! Every line you draw in a coordinate plane can represent real-world scenarios, like tracking the elevation gain on a hike or the increase in your savings over time. Just remember, with each upward tick in your line, you’re telling a tale of progress!