Question

question 9 of 10

what is the slope of the line shown below?

a. \\(-\frac{5}{6}\\)

b. \\(\frac{6}{5}\\)

c. \\(-\frac{6}{5}\\)

d. \\(\frac{5}{6}\\)

Explanation:

Identify the coordinates of the two given points

$$ (x_1, y_1) = (-5, -1),\quad (x_2, y_2) = (5, 11) $$

Apply the slope formula

$$ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{11 - (-1)}{5 - (-5)} $$

Simplify the expression to find the slope

$$ m = \frac{11 + 1}{5 + 5} = \frac{12}{10} = \frac{6}{5} $$

Answer:

• A. \(-\frac{5}{6}\)
• B. \(\frac{6}{5}\) (Correct answer)
• C. \(-\frac{6}{5}\)
• D. \(\frac{5}{6}\)