Question

which line has a slope of 0?
line e
line a
line c
line b

Explanation:

Identify the condition for a slope of 0

$$ m = 0 \implies \frac{y_2 - y_1}{x_2 - x_1} = 0 \implies y_2 = y_1 $$

Determine the geometric orientation

$$ \text{A line with a slope of } 0 \text{ is a horizontal line.} $$

Identify the horizontal line from the graph

$$ \text{Line A is horizontal, defined by the equation } y = 6. $$

Answer:

• Line E
• Line A (Correct answer)
• Line C
• Line B