A straight line in the xy-plane has a slope of 2 and a y-intercept of 2.

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BTGModeratorVI: Legendary Member; Posts: 1223; Joined: Sat Feb 15, 2020 2:23 pm; Followed by:1 members

A straight line in the xy-plane has a slope of 2 and a y-intercept of 2.

by BTGModeratorVI » Tue Mar 10, 2020 7:24 am

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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: GMATPrep test

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Source: Beat The GMAT — Problem Solving | Tue Mar 10, 2020 7:24 am

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Brent@GMATPrepNow: GMAT Instructor; Posts: 16207; Joined: Mon Dec 08, 2008 6:26 pm; Location: Vancouver, BC; Thanked: 5254 times; Followed by:1268 members; GMAT Score:770

Re: A straight line in the xy-plane has a slope of 2 and a y-intercept of 2.

by Brent@GMATPrepNow » Wed Mar 11, 2020 6:11 am

BTGModeratorVI wrote: ↑
Tue Mar 10, 2020 7:24 am
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: GMATPrep test

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

Brent Hanneson - Creator of GMATPrepNow.com

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8086; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

Re: A straight line in the xy-plane has a slope of 2 and a y-intercept of 2.

by Scott@TargetTestPrep » Thu Mar 12, 2020 6:29 am

BTGModeratorVI wrote: ↑
Tue Mar 10, 2020 7:24 am
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: GMATPrep test