Question

find the slope of the line that passes through \\((9, 1)\\) and \\((2, 5)\\).

simplify your answer and write it as a proper fraction, improper fraction, or integer.

Explanation:

Identify the given coordinates

$$ (x_1, y_1) = (9, 1),\quad (x_2, y_2) = (2, 5) $$

Apply the slope formula

$$ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{5 - 1}{2 - 9} $$

Simplify the fraction

$$ m = \frac{4}{-7} = -\frac{4}{7} $$

Answer:

Find the slope of the line that passes through (9, 1) and (2, 5).

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

<blank>\(-\frac{4}{7}\)</blank>