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The slope of the line 2x + y = 3 is NOT the same as the slo
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24 Mar 2019, 10:14
24 Mar 2019, 10:14
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The slope of the line \(2x + y = 3\) is NOT the same as the slope of which one of the following lines?
(A) \(2x + y = 5\)
(B) \(x + \frac{y}{2} = 3\)
(C) \(x = –\frac{y}{2} – 3\)
(D)\(y = 7 – 2x\)
(E) \(x + 2y = 9\)
(A) \(2x + y = 5\)
(B) \(x + \frac{y}{2} = 3\)
(C) \(x = –\frac{y}{2} – 3\)
(D)\(y = 7 – 2x\)
(E) \(x + 2y = 9\)
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Re: The slope of the line 2x + y = 3 is NOT the same as the slo
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25 Mar 2019, 07:02
25 Mar 2019, 07:02
2
Carcass wrote:
The slope of the line \(2x + y = 3\) is NOT the same as the slope of which one of the following lines?
(A) \(2x + y = 5\)
(B) \(x + \frac{y}{2} = 3\)
(C) \(x = –\frac{y}{2} – 3\)
(D)\(y = 7 – 2x\)
(E) \(x + 2y = 9\)
(A) \(2x + y = 5\)
(B) \(x + \frac{y}{2} = 3\)
(C) \(x = –\frac{y}{2} – 3\)
(D)\(y = 7 – 2x\)
(E) \(x + 2y = 9\)
First, rewrite 2x + y = 3 in slope y-intercept form (y = mx + b)
Take: 2x + y = 3
Rewrite as: y = -2x + 3
We can now see the line has a slope of -2 and a y-intercept of 3
Now rewrite each answer choice in slope y-intercept form
NOTE: this is one of those questions that require us to check/test each answer choice. In these situations, always check the answer choices from E to A, because the correct answer is typically closer to the bottom than to the top.
(E) x + 2y = 9
Subtract x from both sides to get: 2y = -x + 9
Divide both sides by 2 to get: y = -1/2x + 9/2
We can now see the line has a slope of -1/2 and a y-intercept of 9/2
Since the slope of the original line is -2, the correct answer is E
Cheers,
Brent
gmatclubot
Re: The slope of the line 2x + y = 3 is NOT the same as the slo [#permalink]
25 Mar 2019, 07:02
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