Question

find the slope of the line joining two points (-5, 1) and (4, -2).

-3

\frac{-1}{3}

Explanation:

Identify the coordinates of the given points

$$ (x_1, y_1) = (-5, 1),\quad (x_2, y_2) = (4, -2) $$

Apply the slope formula

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

Calculate the slope value

$$ m = \frac{-2 - 1}{4 - (-5)} = \frac{-3}{9} = \frac{-1}{3} $$

Answer:

• -3
• \(\frac{-1}{3}\) (Correct answer)