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Bunuel
At what point does the line ax + y + b = 0 intersect the y-axis?

(1) b = 5

(2) a = 3

Lets rewrite the equation,ax+y+b=0 or,y=-ax-b

(1) When the line intersect the y axis ,we can write the equation,y=-a*0-b=-b.Since b=5,So y=-5.So the line intersects at (0,-5),Sufficient

(2) When the line intersect the y axis ,we can write the equation,y=-a*0-b=-b.here given a=3,but we don't know the value of b,Insufficient

Correct Answer A
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I tend to investigate and make it the most visual possible to understand why the right answer is right and the other way round.

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Bunuel
At what point does the line ax + y + b = 0 intersect the y-axis?

(1) b = 5

(2) a = 3

This question just gives the formula for the slope of a line as ax instead of mx- just rearrange

y=-ax-b

Statement 1

The b value in y=mx +/- b is the y-intercept

Suff

Statement 2

This value is just the slope

Insuff


Thus

A
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At what point does the line ax + y + b = 0 intersect the y-axis?

(1) b = 5

(2) a = 3

At what point does the line ax + y + b = 0 intersect the y-axis?
Means ,
X=0
so the equation becomes y+b=0
therefore y = -b

Hence we only need to know the value of B , to get the answer .

Hence statement A is sufficient .

Hi Bunuel ,
My approach is correct ? . Please confirm .

Regards,
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Bunuel
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abhisheknandy08
At what point does the line ax + y + b = 0 intersect the y-axis?

(1) b = 5

(2) a = 3

At what point does the line ax + y + b = 0 intersect the y-axis?
Means ,
X=0
so the equation becomes y+b=0
therefore y = -b

Hence we only need to know the value of B , to get the answer .

Hence statement A is sufficient .

Hi Bunuel ,
My approach is correct ? . Please confirm .

Regards,

Yes. You could check the solutions above to check it.
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