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

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enigma6633
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Which quadrants, if any, do NOT contain any points on the line [#permalink] New post   06 Jul 2011, 21:17
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Which quadrants, if any, do NOT contain any points on the line represented by x=10y

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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?
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yefetarisira
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Re: Which quadrants, if any, do NOT contain any points on the line [#permalink] New post   07 Jul 2011, 02:10
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.
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Re: Which quadrants, if any, do NOT contain any points on the line [#permalink] New post   07 Jul 2011, 02:34
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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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Re: Which quadrants, if any, do NOT contain any points on the line [#permalink] New post   20 Feb 2021, 13:05
X=10Y ,this line looks like a line parallel to Y axis ,and any such line will cover quadrants 1 and 4 ,based on this understanding cant we conclude that the 2,3 quadrants do not contain any point of the line X=10Y?
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Re: Which quadrants, if any, do NOT contain any points on the line [#permalink] New post   06 Mar 2023, 10:36
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x = 10y passes through quadrants I & III as x & y cannot have opposite signs.
The line passes through the origin as (0,0) satisfies the given equation.
So answer to the question is: The line doesn't pass through quadrants II & IV
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Re: Which quadrants, if any, do NOT contain any points on the line [#permalink]
06 Mar 2023, 10:36
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