Question

find the slope of the line that passes through \\((4, 9)\\) and \\((2, 14)\\).

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

Explanation:

Identify the given points

$$ (x_1, y_1) = (4, 9),\quad (x_2, y_2) = (2, 14) $$

Apply the slope formula

$$ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{14 - 9}{2 - 4} $$

Simplify the expression

$$ m = \frac{5}{-2} = -\frac{5}{2} $$

Answer:

Find the slope of the line that passes through \((4, 9)\) and \((2, 14)\).

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

<blank>\(-\frac{5}{2}\)</blank>