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Concept not clear
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[email protected]
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Which quadrants if any do not contain any points on the line represented by x=10y
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snigdha1605
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It helps to roughly plot this line on the graph by plugging values
For eg :
when x= 0 y = 0
when x= 10 y = 1
when x= -10 y = -1
and so on...
The line passes through quands 1 and 3
Quandrants 2 and 4 DO NOT contain any points on the line x=10y
For eg :
when x= 0 y = 0
when x= 10 y = 1
when x= -10 y = -1
and so on...
The line passes through quands 1 and 3
Quandrants 2 and 4 DO NOT contain any points on the line x=10y
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Jim@StratusPrep
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Key is that there is that the intercept is the origin and the slope is positive. Thus, the line goes through 1 and 3, but not 2 and 4.
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Brent@GMATPrepNow
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It might help to first rewrite the equation x = 10y in slope y-intercept form (y = mx + b), where m is the line's slope and b is the y-intercept.[email protected] wrote:Which quadrants if any do not contain any points on the line represented by x = 10y
Take x = 10y
Divide both sides by 10 to get: (1/10)x = y
In other words, y = (1/10)x + 0
So, the line's slope is 1/10 and its y-intercept is 0 (in other words, the line passes through the origin).
So, it looks like this.
As you can see, the line passes through quadrants I and III only
Cheers,
Brent
Last edited by Brent@GMATPrepNow on Mon Apr 16, 2018 12:48 pm, edited 1 time in total.
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Jim@StratusPrep
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Y=mx +b
M is the slope, b is the y-intercept. You simply need to rearrange the equation to this format. You get y=1/10x. 1/10 is positive and there is no b value (in other words it is 0, which is the origin).
M is the slope, b is the y-intercept. You simply need to rearrange the equation to this format. You get y=1/10x. 1/10 is positive and there is no b value (in other words it is 0, which is the origin).
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Hi mgm,
The "quick" way to answer these types of questions involves 2 pieces of information:
1) The Slope of the line
2) The Y-intercept of the line
With slope:
-A positive slope means the line hits I and III and will hit II OR IV, but not both
-A negative slope means the line hits II and IV and will hit I OR III, but not both
-A flat line (0 slope, left/right) hits I and II OR III and IV
-An infinite slope (up/down) hits I and IV OR II and III
**The exceptions are lines that ARE the x-axis or y-axis**
The Y intercept combines with the slope to narrow the options (and show you what quadrant DOESN'T get hit by the line).
GMAT assassins aren't born, they're made,
Rich
The "quick" way to answer these types of questions involves 2 pieces of information:
1) The Slope of the line
2) The Y-intercept of the line
With slope:
-A positive slope means the line hits I and III and will hit II OR IV, but not both
-A negative slope means the line hits II and IV and will hit I OR III, but not both
-A flat line (0 slope, left/right) hits I and II OR III and IV
-An infinite slope (up/down) hits I and IV OR II and III
**The exceptions are lines that ARE the x-axis or y-axis**
The Y intercept combines with the slope to narrow the options (and show you what quadrant DOESN'T get hit by the line).
GMAT assassins aren't born, they're made,
Rich
