[email protected] wrote:Which quadrants if any do not contain any points on the line represented by x = 10y

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.

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

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