While solving GMAT quant questions, always remember that your __one__ goal is to identify the correct answer as efficiently as possible, and not to please your former math teachers.

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## Comment on

Graphing Lines## Pls help with the following

## Here's my step-by-step

Here's my step-by-step solution: https://gmatclub.com/forum/on-the-graph-above-when-x-1-2-y-2-and-when-x-...

Cheers,

Brent

## Is this why we say that a

## You bet! The same applies to

You bet! The same applies to the number line.

Cheers,

Brent

## Hi Brent,

Grateful if you could provide me with your approach to solve this problem.

Thanks

In the xy-coordinate system, if (a, b) and (a+3, b+k) are two points on the line defined by the equation x = 3y - 7, then k =

A) 9

B) 3

C) 7/3

D) 1

E) 1/3

Please provide explanation!!

## Glad to help!

Glad to help!

Here's my full solution: https://gmatclub.com/forum/in-the-xy-coordinate-system-if-a-b-and-a-3-b-...

Cheers,

Brent

## Hi Brent,

Just checking for this question: I found it easier and faster to answer using this approach, is it sound?

Question:

In the xy-coordinate system, if (a, b) and (a+3, b+k) are two points on the line defined by the equation x = 3y - 7, then k =

_________

Answer:

All i did was find the x intercept and substituted to get the why intercept.

So...

x= 3(0) -7

x=-7

(-7+3, 0+k)

-4=3y-7

y=1

(a+3,b+k)

(-7+3, 0+1)

therefore k=1

I think its a right approach that i hope to use in future, will it work or did I just get lucky?

Thanks in advance for your help,

Kamo

## Great work, Kamo!

Great work, Kamo!

That's a well-reasoned solution