Question

question 3 (1 point)
determine the slope of the line through the points \\((8, 13)\\) and \\((-2, 3)\\).

\\(\bigcirc\\) 1
\\(\bigcirc\\) \\(-\sqrt{10}\\)
\\(\bigcirc\\) -1
\\(\bigcirc\\) \\(\sqrt{10}\\)

Explanation:

Identify the given coordinates

$$ (x_1, y_1) = (8, 13),\quad (x_2, y_2) = (-2, 3) $$

Apply the slope formula

$$ m = \frac{y_2 - y_1}{x_2 - x_1} $$

Calculate the slope value

$$ m = \frac{3 - 13}{-2 - 8} = \frac{-10}{-10} = 1 $$

Answer:

• (A) 1 (Correct answer)
• (B) \(-\sqrt{10}\)
• (C) -1
• (D) \(\sqrt{10}\)