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Line Q passes through (s,0) and (0,s) for some number s, where s isn't equal to 0. What is the slope of line Q?

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by BTGmoderatorLU » Sun Oct 10, 2021 10:48 am

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Source: Magoosh

Line Q passes through (s,0), and (0,s) for some number s, where s isn't equal to 0. What is the slope of line Q?

A. \(-1\)

B. \(1\)

C. \(\dfrac{1}{2}\)

D. \(\dfrac{1}{\sqrt{2}}\)

E. \(\sqrt{2}\)

The OA is A
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Source: — Problem Solving |

BTGmoderatorLU wrote:
Sun Oct 10, 2021 10:48 am
Source: Magoosh

Line Q passes through (s,0), and (0,s) for some number s, where s isn't equal to 0. What is the slope of line Q?

A. \(-1\)

B. \(1\)

C. \(\dfrac{1}{2}\)

D. \(\dfrac{1}{\sqrt{2}}\)

E. \(\sqrt{2}\)

The OA is A
One approach is to choose a value for s.
For example, if s = 2, then we must find the slope of the line from (2,0) to (0,2)
Slope = (2-0)/(0-2) = 2/-2 =-1

Answer: A
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