Hi sana.noor,

Using your example (c = 6, d = 2), you'd have these two co-ordinates: (6,2) and (8,-1). Graph them then connect them (since they're on the same line). Looking at the picture, what kind of slope does it have?

GMAT assassins aren't born, they're made,
Rich

Hi sana.noor,

Yes, IF the slope of a line is negative and IF it's y-intercept is negative, then it will pass through quadrant III (and II and IV).

The line that you've created DOESN'T have a negative y-intercept though, it only has a negative slope (which means it's guaranteed to pass through quadrants II and IV).

With your last sentence, you need to include some words that are not currently there:

IF a line has a positive X-INTERCEPT and a negative Y-INTERCEPT, then the line has a positive slope.

GMAT assassins aren't born, they're made,.
Rich

Hi sana.noor,

There's a difference between Y-INTERCEPT and Y-COORDINATE

The Y-INTERCEPT is the point (0, ?); it's WHERE the line hits the y-intercept and is represented by the "b" in y = mx + b

A Y-COORDINATE is the the second number in a co-ordinate pair; (8, -1) has a Y-COORDINATE of -1. You can graph this point, but it does not tell you what the y-intercept is.

GMAT assassins aren't born, they're made,
Rich