A straight line in the xy-plane has a slope of 2 and a y-intercept of 2. On this line, what is the x-coordinate of the p

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BTGModeratorVI: Legendary Member; Posts: 1223; Joined: Sat Feb 15, 2020 2:23 pmFollowed by: 1 member

by BTGModeratorVI » Thu Aug 27, 2020 12:11 pm

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A straight line in the xy-plane has a slope of 2 and a y-intercept of 2. On this line, what is the x-coordinate of the point whose y-coordinate is 500 ?

A. 249
B. 498
C. 676
D. 823
E. 1,002

Answer: A
Source: Official guide

Source: Beat The GMAT — Problem Solving | Thu Aug 27, 2020 12:11 pm

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8246; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

Re: A straight line in the xy-plane has a slope of 2 and a y-intercept of 2. On this line, what is the x-coordinate of t

by Scott@TargetTestPrep » Mon Aug 31, 2020 11:49 am

BTGModeratorVI wrote: ↑
Thu Aug 27, 2020 12:11 pm
A straight line in the xy-plane has a slope of 2 and a y-intercept of 2. On this line, what is the x-coordinate of the point whose y-coordinate is 500 ?

A. 249
B. 498
C. 676
D. 823
E. 1,002

Answer: A
Source: Official guide

Solution:

The equation of the line, in slope-intercept form, is y = 2x + 2. Therefore, when y = 500, we have:

500 = 2x + 2

498 = 2x

249 = x

Answer: A

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Brent@GMATPrepNow: GMAT Instructor; Posts: 16206; Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members; Location: Vancouver, BC; Thanked: 5254 times; GMAT Score:770

Re: A straight line in the xy-plane has a slope of 2 and a y-intercept of 2. On this line, what is the x-coordinate of t

by Brent@GMATPrepNow » Wed Sep 02, 2020 9:49 am

BTGModeratorVI wrote: ↑
Thu Aug 27, 2020 12:11 pm
A straight line in the xy-plane has a slope of 2 and a y-intercept of 2. On this line, what is the x-coordinate of the point whose y-coordinate is 500 ?

A. 249
B. 498
C. 676
D. 823
E. 1,002

Answer: A
Source: Official guide

The question conveniently gives us the information to write the equation of the line in slope y-intercept form, y = mx + b, where m = slope and b = the y-intercept.

Line in the xy-plane has a slope of 2 and a y-intercept of 2
So, the equation of the line is: y = 2x + 2

On this line, what is the x-coordinate of the point whose y-coordinate is 500?
To find the corresponding x-value, we'll take the equation y = 2x + 2 and replace y with 500
We get: 500 = 2x + 2
To solve for x, first subtract 2 from both sides to get: 498 = 2x
Solve: x = 498/2 = 249

Answer: A

Cheers,
Brent

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