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At what point of the X-Y plane does the graph of the line y=ax+b

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At what point of the X-Y plane does the graph of the line y=ax+b  [#permalink]

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New post 03 Nov 2017, 10:03
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A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

85% (00:48) correct 15% (01:20) wrong based on 65 sessions

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At what point of the X-Y plane does the graph of the line y=ax+b intersect the x-axis?

1. Slope of the line is 2
2. The line passes through the point (1,3)

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Re: At what point of the X-Y plane does the graph of the line y=ax+b  [#permalink]

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New post 03 Nov 2017, 10:28
IMO C
From st1 we know only the slope. it does not give an idea about the point through which the line passes. insufficient

From st2 the point through which the line passes is given but it does not give the slope. Insufficient.

Combining we can answer the Question and the equation of the line is y=2x+1. the point on X axis is (-0.5,0)
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Re: At what point of the X-Y plane does the graph of the line y=ax+b  [#permalink]

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New post 04 Nov 2017, 00:54
y=ax+b
y=mx+c. have to find x intercept.
=> y=0 at x axis

St(1)-Slope =2
=> 0=2x+c. 2 variables in the equation. Not enough

St(2)-Passes through point (1,3)
y=mx+c
=>1=m(3)+c. 2 variables in the equation. Not enough.

St(1)+St(2)
=> Substituting value of slope in second equation
=>1=2(3)+c
=>c=-5.

Substituting c=-5 in first equation
0=2x+c
=>0=2x-5
=>x=5/2.
SUfficient.

Answer=C
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At what point of the X-Y plane does the graph of the line y=ax+b  [#permalink]

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New post 15 Oct 2018, 22:09
pushpitkc

Kindly correct me if i am wrong, isn't slope defined as the angle made by a line with respect to x axis ??

If going per this logic, It will mean that the line is just originating from 2,0, but not intersecting it right ?

Making A not sufficient.
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At what point of the X-Y plane does the graph of the line y=ax+b &nbs [#permalink] 15 Oct 2018, 22:09
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