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# Which quadrants, if any, do NOT contain any points on the line

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Intern
Joined: 11 Dec 2009
Posts: 4
Which quadrants, if any, do NOT contain any points on the line  [#permalink]

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06 Jul 2011, 20:17
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Which quadrants, if any, do NOT contain any points on the line represented by x=10y

solution is saying if y intercept is zero line passes through origin

My question is if y intercept is zero cannot be line parallel to y axis?
Intern
Joined: 21 Apr 2011
Posts: 2
Re: Which quadrants, if any, do NOT contain any points on the line  [#permalink]

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07 Jul 2011, 01:10
enigma6633 wrote:
11. what quadrants, if any, do not contain any points on the line represented by x=10y?

solution is saying if y intercept is zero line passes through origin

My question is if y intercept is zero cannot be line parallel to y axis?

First, let's have the definition of 'Y-intercept': It represents a point on the XY-plane where a graph crosses the Y-axis. So, for a line if its Y-intercept is 2 , then the line passes straight through point (0, 2)[ point 2 on the y-axis]

A line parallel to the y-axis has rather no y-intercept, meaning it never crosses the Y-axis.

So, at least in this respect, 'a line has Y-intercept equal to 0' and 'a line has no y-intercept' are different.

Hope this helps.
Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 10113
Location: Pune, India
Re: Which quadrants, if any, do NOT contain any points on the line  [#permalink]

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07 Jul 2011, 01:34
enigma6633 wrote:
11. what quadrants, if any, do not contain any points on the line represented by x=10y?

solution is saying if y intercept is zero line passes through origin

My question is if y intercept is zero cannot be line parallel to y axis?

y intercept of a line is the value of the y co-ordinate where the x co-ordinate is 0.
x = 10y
Put x = 0, you get y = 0. So the y intercept of this line is 0 (It has a value. Just that the value is 0). This means the line passes through origin since the point (0, 0) satisfies it.

A line parallel to y axis has an equation similar to x = 4, x = 8, x = -10 etc. Here the x co-ordinate cannot be 0 (since it is given as 4/8/-10). Hence there is no y intercept (which does not mean that y intercept is 0.)
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Karishma
Veritas Prep GMAT Instructor

Re: Which quadrants, if any, do NOT contain any points on the line   [#permalink] 07 Jul 2011, 01:34
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