Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 05 Jul 2015, 23:59

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# K is a line on x-y plane, what is the slope of k? 1)

Author Message
TAGS:
Intern
Joined: 31 May 2006
Posts: 44
Followers: 0

Kudos [?]: 5 [0], given: 0

K is a line on x-y plane, what is the slope of k? 1) [#permalink]  20 Jul 2006, 19:06
K is a line on x-y plane, what is the slope of k?

1) x-intercept of k is 2
2) y-intercept of k is 3
Senior Manager
Joined: 22 May 2006
Posts: 375
Location: Rancho Palos Verdes
Followers: 1

Kudos [?]: 35 [0], given: 0

Re: GMAT prep [#permalink]  20 Jul 2006, 21:38
shehreenquayyum wrote:
K is a line on x-y plane, what is the slope of k?

1) x-intercept of k is 2
2) y-intercept of k is 3

let k = ax+b, slope of k is a.

stmt1.
(2,0) is on k.
thus 0 = 2a+b => insuff.

stmt2.
(0,3) is on k
thus, 3 = b => insuff.

stmt1+2
0 = 2a + b
b=3
solve for a
a = -3/2 suff.

thus, C.
_________________

The only thing that matters is what you believe.

SVP
Joined: 30 Mar 2006
Posts: 1737
Followers: 1

Kudos [?]: 46 [0], given: 0

let the line be y = mx +b

1) x intercept is 2
hence point is (2,0)
0 = 2m + b
Not suff

2) y intercept is 3
point (0,3)
3 = m*0 + b
hence b = 3
Not suff

Together

0 = 2m + 3
m = -3/2
Intern
Joined: 17 Jul 2006
Posts: 26
Followers: 0

Kudos [?]: 2 [0], given: 0

Note that through any given point in xy plane, you can draw infinite lines. So, obviously statement 1 and 2 are insufficient.

However, given x and y intercept, note the following that will come in handy in solving problems:

given an x intercept say a, and y intercept, say b, note the following properties:

1. The line goes through the point (a,0) and (0,b) because on x-axis y co-ordinate is zero and on y-axis x coordinate is zero.

2. The slope can be easily found out by the formula (y2-y1)/(x2-x1) = -b/a

3. The equation of the line given the x intercept and y intercept is x/a + y/b = 1.

look at the simplicity of this equation, it will satisfy the property 1, if you plug in x=0 or y =0.

4. given x and y intercept as a and b, the line forms a right triangle with the origin (0,0), (a,0) and (0,b). This triangle has the area of |1/2 * a * b|
because the base is a and the height is b.

Coming back to the problem, the answer is C.

-mathguru
_________________
Similar topics Replies Last post
Similar
Topics:
In the xy plane , if line K has -ve slope and passes through 3 23 Jul 2008, 07:36
In the xy-plane, what is the slope of line l? (1) Line l 1 05 Jan 2008, 12:30
In the xy-plane, line K has positive slope and x intercept 1 27 Dec 2007, 08:14
If k is a line in the xy plane, what is the slope of K ? 1 18 Oct 2007, 09:44
In an xy plane, line k has a positive slope and x-intercept 1 26 Feb 2006, 21:58
Display posts from previous: Sort by