Question

question 7 of 10

what is the slope of the line shown below?

a. \\(\frac{1}{6}\\)
b. 6
c. \\(-\frac{1}{6}\\)
d. -6

Explanation:

Identify the given points on the line

$$ (x_1, y_1) = (-6, 3),\quad (x_2, y_2) = (12, 6) $$

Apply the slope formula

$$ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{6 - 3}{12 - (-6)} $$

Simplify the expression

$$ m = \frac{3}{12 + 6} = \frac{3}{18} = \frac{1}{6} $$

Answer:

• (A) \(\frac{1}{6}\) (Correct answer)
• (B) 6
• (C) \(-\frac{1}{6}\)
• (D) -6