hapless12
There is no hard and fast rule that if slope is positive then Y-intercept is negative.
If slope is positive then both x and y intercept are positive (what I have observed)
So there is confusion why cant we choose 6 as answer here?
Pls guide
Please check here:
https://gmatclub.com/forum/in-the-xy-pla ... ml#p778346 and here:
https://gmatclub.com/forum/in-the-xy-pla ... ml#p778520Theory:1.
If the slope of line is negative, line WILL intersect quadrants II and IV. X and Y intersects of the line with negative slope have the same sign. Therefore if X and Y intersects are positive, line intersects the quadrant I too, if negative quadrant III.
2.
If the slope of line is positive, line WILL intersect quadrants I and III. Y and X intersects of the line with positive slope have opposite signs. Therefore if X intersect is negative, line intersects the quadrant II too, if positive quadrant IV.
3.
Every line (but the one crosses origin OR parallel to X or Y axis OR X and Y axis themselves) crosses three quadrants. Only the line which crosses origin (0,0) OR is parallel of either of axis crosses two quadrants.
4.
If a line is horizontal the line has slope 0, is parallel to X-axis and crosses quadrant I and II, if the Y intersect is positive OR quadrants III and IV, if the Y intersect is negative. Equation of such line is y=b, where b is y intersect.
5.
If a line is vertical, the slope is not defined, line is parallel to Y-axis and crosses quadrant I and IV, if the X intersect is positive and quadrant II and III, if the X intersect is negative. Equation of such line is x=a, where a is x-intercept.
Theory on Coordinate Geometry:
https://gmatclub.com/forum/math-coordina ... 87652.htmlDS Coordinate Geometry Problems to practice:
https://gmatclub.com/forum/search.php?se ... &tag_id=41PS Coordinate Geometry Problems to practice:
https://gmatclub.com/forum/search.php?se ... &tag_id=62