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## What is the equation of line m?

tagged by: M7MBA

This topic has 1 expert reply and 0 member replies

### Top Member

M7MBA Moderator
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#### What is the equation of line m?

Mon Nov 06, 2017 6:34 am
What is the equation of line m?

(1) The slope of line m is 2.
(2) The x-intercept of line m is 3.

The OA is C.

I don't know how to use statement 2 to get a conclusion. Experts, I ask for your help.

### GMAT/MBA Expert

Brent@GMATPrepNow GMAT Instructor
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Mon Nov 06, 2017 7:06 am
M7MBA wrote:
What is the equation of line m?

(1) The slope of line m is 2.
(2) The x-intercept of line m is 3.
Target question: What is the equation of line m?

IMPORTANT: For many coordinate geometry Data Sufficiency questions, we are often checking to see whether the statements "lock" a particular line/curve into having just one possible location. This concept is discussed in much greater detail in our free video: http://www.gmatprepnow.com/module/gmat-data-sufficiency?id=1103

Statement 1: The slope of line m is 2
There are MANY different lines we can draw with slope 2.
Just draw a line with slope 2 and then move it up and down wherever you want, and the slope will still be 2.
Since statement 1 does not LOCK IN the placement of line m, it is NOT SUFFICIENT

Statement 2: The x-intercept of line m is 3
There are MANY different lines we can draw with an x-intercept of 3.
Just draw a line through the point (3,0) and spin it around that point, and the x-intercept will still be 3.
Since statement 2 does not LOCK IN the placement of line m, it is NOT SUFFICIENT

Statements 1 and 2 combined
Take our line with slope 2 (from statement 1).
Notice that, if we say this line must also pass through the point (3,0), then there is ONLY ONE such possible line.
Since the combined statements LOCK IN the placement of line m, they are SUFFICIENT

ASIDE: Are we going to actually find the equation of line m? No! We need only recognize that we COULD find the equation (since there's only 1 line that meets the given conditions). Finding the actual equation is a waste of valuable time.

Cheers,
Brent

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