Question

calculate the slope of the line passing through \\((12, 5)\\) and \\((-3, 5)\\).

-3

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0

\\(\frac{2}{7}\\)

Explanation:

Identify the coordinates

Using the Slope Formula knowledge point

$$ (x_1, y_1) = (12, 5),\quad (x_2, y_2) = (-3, 5) $$

Apply the slope formula

Using the Slope Formula knowledge point

$$ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{5 - 5}{-3 - 12} = \frac{0}{-15} = 0 $$

Interpret the result

Using the Horizontal Lines knowledge point

$$ y = 5 \implies \text{horizontal line with slope } m = 0 $$

Answer:

• -3
• undefined
• 0 (Correct answer)
• \(\frac{2}{7}\)