Question

select the correct answer.
two points located on \\(\overleftrightarrow{jk}\\) are \\(j(1,-4)\\) and \\(k(-2,8)\\). what is the slope of \\(\overleftrightarrow{jk}\\)?

\\(\bigcirc\\) -4
\\(\bigcirc\\) -2
\\(\bigcirc\\) -\frac{1}{4}
\\(\bigcirc\\) \frac{1}{4}
\\(\bigcirc\\) 4

Explanation:

Identify given coordinates

$$ J(x_1, y_1) = (1, -4),\quad K(x_2, y_2) = (-2, 8) $$

Apply slope formula

$$ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{8 - (-4)}{-2 - 1} $$

Simplify the expression

$$ m = \frac{12}{-3} = -4 $$

Answer:

• (A) -4 (Correct answer)
• (B) -2
• (C) -\frac{1}{4}
• (D) \frac{1}{4}
• (E) 4