6) Does line k intersect quadrant II?
a. Slope of k is -1/6
b. Y intercept of k is -6
answer A
Coordinate geometry problem
This topic has expert replies
-
- Master | Next Rank: 500 Posts
- Posts: 168
- Joined: Mon Apr 13, 2009 6:48 pm
- Thanked: 6 times
a says slope = -1/6.
y=(-1/6)x + c.
6y = -x + 6c
now find where this line intersects x and why axis.
the points are (0,c) and (6c,0)
draw this on the co-ordinate plane and verify... if c>0 then both x and y are positive,. so when u draw a line passing thru points it passes through the II quadrant. Note that it won't pass through III quadrant.
Try the same for c<0. both x and y intercepts are negative. again it will pass through II quadrant and this time it wont pass through I.
So A is sufficient.
May there is an easier way to do it! But this was the best I could try
y=(-1/6)x + c.
6y = -x + 6c
now find where this line intersects x and why axis.
the points are (0,c) and (6c,0)
draw this on the co-ordinate plane and verify... if c>0 then both x and y are positive,. so when u draw a line passing thru points it passes through the II quadrant. Note that it won't pass through III quadrant.
Try the same for c<0. both x and y intercepts are negative. again it will pass through II quadrant and this time it wont pass through I.
So A is sufficient.
May there is an easier way to do it! But this was the best I could try
-
- Senior | Next Rank: 100 Posts
- Posts: 31
- Joined: Tue Sep 29, 2009 2:03 pm
Any better answers please. I do not know how to point moderators or Instructors to address this problem so if somebody would be kind enough to point it to them or give a better explanation.
-
- Senior | Next Rank: 100 Posts
- Posts: 31
- Joined: Tue Sep 29, 2009 2:03 pm