Fill in the blanks below. Find the slope of the line passing through the points \( (-2,7) \) and \( (-2,-1) \), slope: \( \square \) Find the slope of the line passing through the points \( (4,-8) \) and \( (9,-8) \).
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When finding the slope of a line between two points, the formula is given by \( m = \frac{y_2 - y_1}{x_2 - x_1} \). For the points \( (-2,7) \) and \( (-2,-1) \), we see that both x-coordinates are the same. This results in division by zero, indicating that the slope is undefined. So, slope: \( \text{undefined} \). For the points \( (4,-8) \) and \( (9,-8) \), both y-coordinates are identical. Thus, the formula simplifies to \( m = \frac{-8 - (-8)}{9 - 4} = \frac{0}{5} = 0 \). Therefore, slope: \( 0 \).