Question

question 3 of 10

considering the graph of a line with a negative slope, which of the following could be true? check all that apply.

a. as the absolute value of the negative slope gets smaller, the graph of the line gets less steep.
b. the line shifts up.
c. the line goes down from left to right.
d. the line goes up from left to right.
e. as the absolute value of the negative slope gets bigger, the graph of the line gets less steep.

Explanation:

Analyze the direction of a line with a negative slope

$$ m < 0 \implies \text{The line goes down from left to right.} $$

Analyze the relationship between absolute slope value and steepness

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$$

Evaluate the given options

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$$

Answer:

• A. As the absolute value of the negative slope gets smaller, the graph of the line gets less steep. (Correct answer)
• B. The line shifts up.
• C. The line goes down from left to right. (Correct answer)
• D. The line goes up from left to right.
• E. As the absolute value of the negative slope gets bigger, the graph of the line gets less steep.