Part 1 of 2 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. \( (-5,1) \) and \( (4,4) \) 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. View an example Geur answer.) Get more help -

To find the slope of the line passing through the points \( (-5, 1) \) and \( (4, 4) \), we use the formula for the slope \( m = \frac{y_2 - y_1}{x_2 - x_1} \). Plugging in the values, we have: \[ m = \frac{4 - 1}{4 - (-5)} = \frac{3}{9} = \frac{1}{3}. \] This means the slope is \( \frac{1}{3} \), indicating that the line rises gradually from left to right. For visualizing a line's behavior, remember that a positive slope, like \( \frac{1}{3} \), means the line rises as it moves to the right. If it were a negative slope, the line would fall. A slope of zero means horizontal, while an undefined slope corresponds to a vertical line. So, our line is rising!