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question 5 of 10 when the value of the slope gets bigger, the graph of …

Question

question 5 of 10

when the value of the slope gets bigger, the graph of a line gets ______.

a. shorter
b. steeper
c. less steep
d. longer

Explanation:

Define the relationship between slope magnitude and steepness

$$ \text{Steepness} \propto |m| $$

Analyze the effect of a larger slope value

$$ m_2 > m_1 > 0 \implies |m_2| > |m_1| \implies \text{steeper} $$

Evaluate the given multiple-choice options

$$ \text{Option B matches "steeper"} $$

Answer:

  • A. shorter
  • B. steeper (Correct answer)
  • C. less steep
  • D. longer