Considering the graph of a line with a negative slope, which of the following could be true? Check all that apply.A.The line shifts up.B.The line goes down from left to right.C.As the absolute value of the negative slope gets bigger, the graph of the line gets less steep.D.As the absolute value of the negative slope gets smaller, the graph of the line gets less steep.E.The line goes up from left to right.
Question
Considering the graph of a line with a negative slope, which of the following could be true? Check all that apply.A.The line shifts up.B.The line goes down from left to right.C.As the absolute value of the negative slope gets bigger, the graph of the line gets less steep.D.As the absolute value of the negative slope gets smaller, the graph of the line gets less steep.E.The line goes up from left to right.
Solution
A. The line shifts up. - This could be true. The position of the line (up or down) is determined by the y-intercept, not the slope.
B. The line goes down from left to right. - This is true. A negative slope means that the line goes down from left to right.
C. As the absolute value of the negative slope gets bigger, the graph of the line gets less steep. - This is false. As the absolute value of the negative slope gets bigger, the line actually gets steeper.
D. As the absolute value of the negative slope gets smaller, the graph of the line gets less steep. - This is true. As the absolute value of the slope decreases, the line becomes less steep.
E. The line goes up from left to right. - This is false. A negative slope means that the line goes down from left to right, not up.
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