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Which quadrants, if any, dο nοt cοntain any pοints οn the line represe

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GeminiHeat
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Which quadrants, if any, dο nοt cοntain any pοints οn the line represe [#permalink] New post   16 Mar 2021, 06:00
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Which quadrants, if any, dο nοt cοntain any pοints οn the line represented by x = 10y?

A. II

B. III

C. I and IV

D. II and IIII

E. II and IV
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E
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Re: Which quadrants, if any, dο nοt cοntain any pοints οn the line represe [#permalink] New post   16 Mar 2021, 07:55
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GeminiHeat wrote:
Which quadrants, if any, dο nοt cοntain any pοints οn the line represented by x = 10y?

A. II

B. III

C. I and IV

D. II and IIII

E. II and IV


Line with an equation \(y = mx\) always passes through the origin.

Case I: \(m > 0\)
The line will go UP (Left to Right) through III and I Quadrants

Case II: \(m < 0\)
The line will go DOWN (Left to Right) through II and IV Quadrants

Here, we have \(y = 0.1x\) - with \(m > 0\)

Hence, option E
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Re: Which quadrants, if any, dο nοt cοntain any pοints οn the line represe [#permalink] New post   21 Jun 2021, 07:52
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x=10y
if x=0 then y=0 (0,0) this one point
if x=1 then y=1/10 this point is on I quadrant
line of x=10y is only passing through quadrants "I and III" if we draw line connected with the above points.
the question is which quadrants do not contain any point for the line equation, Only quadrants "II and IV"
answer is E
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Re: Which quadrants, if any, dο nοt cοntain any pοints οn the line represe [#permalink]
21 Jun 2021, 07:52
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