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In the \(xy\)-plane, what is the slope of the line with equation \(3x + 7y = 9 ?\)

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by M7MBA » Thu Sep 17, 2020 1:44 am
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In the \(xy\)-plane, what is the slope of the line with equation \(3x + 7y = 9 ?\)

(A) \(-\dfrac73\)
(B) \(-\dfrac37\)
(C) \(\dfrac37\)
(D) \(3\)
(E) \(7\)

Answer: B

Source: Official Guide
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Re: In the \(xy\)-plane, what is the slope of the line with equation \(3x + 7y = 9 ?\)

by swerve » Thu Sep 17, 2020 5:09 am
M7MBA wrote: ↑
Thu Sep 17, 2020 1:44 am
 In the \(xy\)-plane, what is the slope of the line with equation \(3x + 7y = 9 ?\)

(A) \(-\dfrac73\)
(B) \(-\dfrac37\)
(C) \(\dfrac37\)
(D) \(3\)
(E) \(7\)

Answer: B

Source: Official Guide
For a general line equation \(ax+by+c=0\)

the slope is given by the quotient \(-\dfrac{a}{b}\)

So, in this case, it will be \(-\dfrac{3}{7}\)
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