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Explanation:

Identify the effect of dilation on line segments

$$ \text{Dilation preserves the orientation and parallelism of lines.} $$

Determine the relationship between the slopes

$$ \overline{K'L'} \parallel \overline{KL} \implies \text{slope of } \overline{K'L'} = \text{slope of } \overline{KL} $$

Find the final slope value

$$ \text{slope of } \overline{K'L'} = -8 $$

Answer:

  • (A) -8 (Correct answer)
  • (B) -\frac{1}{8}
  • (C) 8
  • (D) \frac{1}{8}