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Which of the following statements best represents the graph of the lin
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10 Jan 2022, 06:58
10 Jan 2022, 06:58
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30% (01:01) correct
69% (01:10) wrong based on 13 sessions
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Which of the following statements best represents the graph of the line \(y = (-\frac{1}{2})ax + b\) compared with \(y = ax + b\)?
(A) It has the same x-intercept, goes in the same direction, and is more steep.
(B) It has a different y-intercept, goes in the opposite direction, and is more steep.
(C) It has the same y-intercept, goes in the same direction, and is less steep.
(D) It has a different x-intercept, goes in the opposite direction, and is less steep.
(E) It has the same y-intercept, goes in the opposite direction, and is shifted down.
(A) It has the same x-intercept, goes in the same direction, and is more steep.
(B) It has a different y-intercept, goes in the opposite direction, and is more steep.
(C) It has the same y-intercept, goes in the same direction, and is less steep.
(D) It has a different x-intercept, goes in the opposite direction, and is less steep.
(E) It has the same y-intercept, goes in the opposite direction, and is shifted down.
Re: Which of the following statements best represents the graph of the lin
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28 Jan 2022, 02:45
28 Jan 2022, 02:45
Expert Reply
OE
(D); The only difference between the two equations is the slope, m, which goes from 1 to -1/2. Therefore, the new graph will go in the opposite direction with a less-steep slope, but its x- and y-intercepts remain the same.
(D); The only difference between the two equations is the slope, m, which goes from 1 to -1/2. Therefore, the new graph will go in the opposite direction with a less-steep slope, but its x- and y-intercepts remain the same.
Re: Which of the following statements best represents the graph of the lin
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10 Feb 2022, 05:55
10 Feb 2022, 05:55
Could someone please explain it graphically or in a more elaborate way ?
