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. \( (-1,-2) \) and \( (-8,-2) \) 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. Gew an example more help -

To find the slope of the line passing through the points \((-1, -2)\) and \((-8, -2)\), we can use the formula for the slope \(m\) between two points \((x_1, y_1)\) and \((x_2, y_2)\): \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] ### Step 1: Identify the coordinates From the points given: - \((x_1, y_1) = (-1, -2)\) - \((x_2, y_2) = (-8, -2)\) ### Step 2: Substitute the coordinates into the slope formula Now, we can substitute the values into the slope formula: \[ m = \frac{-2 - (-2)}{-8 - (-1)} \] ### Step 3: Simplify the expression Calculating the numerator and denominator: - The numerator: \[ -2 - (-2) = -2 + 2 = 0 \] - The denominator: \[ -8 - (-1) = -8 + 1 = -7 \] So, we have: \[ m = \frac{0}{-7} \] ### Step 4: Final calculation Since the numerator is 0, the slope \(m\) is: \[ m = 0 \] ### Conclusion A slope of 0 indicates that the line is horizontal. Thus, the correct choice is: A. The slope is \(0\). The line is horizontal.