BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Graph Problem

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Master | Next Rank: 500 Posts
Posts: 458
Joined: Sun Aug 31, 2008 10:44 am
Thanked: 3 times
Followed by:1 members

Graph Problem

by gmat009 » Wed Oct 01, 2008 5:37 pm
The graph of which of the following equations is a straight line that parallel to line I in the figure above? {Refer to attached figure}

(A) 3y - 2x = 0
(B) 3y + 2x = 0
(C) 3y + 2x = 6
(D) 2y - 3x = 6
(E) 2y + 3x = -6
Attachments
fig.doc
(28.5 KiB) Downloaded 141 times
Top
Source: — Problem Solving |
Master | Next Rank: 500 Posts
Posts: 106
Joined: Thu May 22, 2008 10:50 am
Thanked: 3 times

by EricLien9122 » Wed Oct 01, 2008 5:58 pm
IMO: A


OA?
Top
Master | Next Rank: 500 Posts
Posts: 458
Joined: Sun Aug 31, 2008 10:44 am
Thanked: 3 times
Followed by:1 members

by gmat009 » Wed Oct 01, 2008 6:13 pm
OA is A. Can you plz. explain
Top
Master | Next Rank: 500 Posts
Posts: 145
Joined: Mon Sep 29, 2008 1:14 am
Thanked: 13 times

by mental » Thu Oct 02, 2008 4:34 am
Line in the figure
calculate the slope
we have two points, one on y axis (0,2) and another on x axis (-3, 0)

slope m = y2-y1/x2-x1 = 2-0/0-(-3) = 2/3

equation of line in figure = y=mx+c
c = y ordinate, when line passes on y axis = 2
y=2x/3 + 2 or 3y = 2x + 6

though we dont need to calculate the equation of line.....

now from the options:
keep y on one side and rest terms on other side

we see that only 1st three have 3y
rule out D and E
among b and c the x term is negetive

where as when the lines are parallel they have same slope
A give the same slope

once this is understood, you can see that all this explanation will not be required and the answer can be found by just looking at the options

..............................................................
Top
Master | Next Rank: 500 Posts
Posts: 458
Joined: Sun Aug 31, 2008 10:44 am
Thanked: 3 times
Followed by:1 members

by gmat009 » Thu Oct 02, 2008 5:42 am
mental wrote:Line in the figure
calculate the slope
we have two points, one on y axis (0,2) and another on x axis (-3, 0)

slope m = y2-y1/x2-x1 = 2-0/0-(-3) = 2/3

equation of line in figure = y=mx+c
c = y ordinate, when line passes on y axis = 2
y=2x/3 + 2 or 3y = 2x + 6

though we dont need to calculate the equation of line.....

now from the options:
keep y on one side and rest terms on other side

we see that only 1st three have 3y
rule out D and E
among b and c the x term is negetive

where as when the lines are parallel they have same slope
A give the same slope

once this is understood, you can see that all this explanation will not be required and the answer can be found by just looking at the options

..............................................................
My question is how we calculated y intercept.
OA is A and according to that equation y intercept is 0.
Top
Newbie | Next Rank: 10 Posts
Posts: 7
Joined: Thu May 22, 2008 5:45 am
Thanked: 1 times

by reacher » Thu Oct 02, 2008 7:00 am
gmat009 wrote:
mental wrote:Line in the figure
calculate the slope
we have two points, one on y axis (0,2) and another on x axis (-3, 0)

slope m = y2-y1/x2-x1 = 2-0/0-(-3) = 2/3

equation of line in figure = y=mx+c
c = y ordinate, when line passes on y axis = 2
y=2x/3 + 2 or 3y = 2x + 6

though we dont need to calculate the equation of line.....

now from the options:
keep y on one side and rest terms on other side

we see that only 1st three have 3y
rule out D and E
among b and c the x term is negetive

where as when the lines are parallel they have same slope
A give the same slope

once this is understood, you can see that all this explanation will not be required and the answer can be found by just looking at the options

..............................................................
My question is how we calculated y intercept.
OA is A and according to that equation y intercept is 0.
You don't need to calculate the y intercept. Remember that we are looking for a parallel line and option A equation just translates into a line that is parallel to line 1 and crosses Y at 0. To understand it further, try to simplify option C. It translates into Y= 2/3X -2. Now look for -2 in the Y axis of the graph and you realize that the line is not parallel.
Top
Post new topic Post Reply
• Page 1 of 1