The slope of a line can be calculated by using the formula:
\[ \text{slope} = \frac{y_2 - y_1}{x_2 - x_1} \]
Given the choices, let's calculate the slope for each pair of points:
A. (3, 6) and (-1, -4):
\[ \text{slope} = \frac{-4 - 6}{-1 - 3} = \frac{-10}{-4} = 2.5 \]
B. (-4, 2) and (7, -1):
\[ \text{slope} = \frac{-1 - 2}{7 - (-4)} = \frac{-3}{11} \neq 5 \]
C. (-4, 7) and (-9, 5):
\[ \text{slope} = \frac{5 - 7}{-9 - (-4)} = \frac{-2}{-5} = 0.4 \]
D. (3, -7) and (8, 4):
\[ \text{slope} = \frac{4 - (-7)}{8 - 3} = \frac{11}{5} \neq 5 \]
Therefore, the points that form a line with a slope of 5 are not among the given choices.
