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

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A straight line in the xy-plane has a slope of 2 and a y-intercept of  [#permalink]

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01 Sep 2015, 04:24
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Question Stats:

94% (01:04) correct 6% (01:14) wrong based on 160 sessions

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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

Kudos for a correct solution.

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Re: A straight line in the xy-plane has a slope of 2 and a y-intercept of  [#permalink]

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01 Sep 2015, 06:04
Eq of line = Y = MX +C
M = 2,
C= 2
Y=2X + 2,
Substitute Y by 500 as given in question.

500=2X+2 , X = 249.

Or we can also use Slope formula M= Difference Bw Y Coordinates/ Difference Bw X Coordinates.

i.e.. 2= 2-500/0-X, X= 249.

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Re: A straight line in the xy-plane has a slope of 2 and a y-intercept of  [#permalink]

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01 Sep 2015, 07:37
Equation of the line is Y = 2X + 2
=> X = (Y-2)/2
for Y = 500, we get X as 249.
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Re: A straight line in the xy-plane has a slope of 2 and a y-intercept of  [#permalink]

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01 Sep 2015, 10:38
Slope=$$\frac{(y1-y2)}{(x1-x2)}$$
2=$$\frac{(500-2)}{(x-0)}$$
2x=498
x=249

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Re: A straight line in the xy-plane has a slope of 2 and a y-intercept of  [#permalink]

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01 Sep 2015, 14:16
slope of 2 and a y-intercept of 2
y-coordinate is 500

y = 2x + 2
498 = 2x
x = 249

A. 249
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Joined: 02 Mar 2015
Posts: 24
Re: A straight line in the xy-plane has a slope of 2 and a y-intercept of  [#permalink]

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25 Apr 2016, 00:15
there can be 2 ways
first: either use the line equation y = mx+c ( y = 500 ; m = 2 ; c = 2)
second: use the way slope is calculated
that is m = (y2-y1)/(x2-x1) ( m = 2 , y2 = 500 ; y1 = 2 ; x2 = x ; x1 = 0)

OPTION A is the OA
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Re: A straight line in the xy-plane has a slope of 2 and a y-intercept of  [#permalink]

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14 Jul 2016, 07:32
Bunuel wrote:
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

Kudos for a correct solution.

Slope = y2-y1/x2-x1
at x= 0 y is 2 ; x=? when y=500
plug in the values
2=500-2/x-0
2=498/x
x=498/2=249

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Re: A straight line in the xy-plane has a slope of 2 and a y-intercept of  [#permalink]

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24 Feb 2019, 09:45
Top Contributor
Bunuel wrote:
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

Kudos for a correct solution.

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

Cheers,
Brent
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Re: A straight line in the xy-plane has a slope of 2 and a y-intercept of   [#permalink] 24 Feb 2019, 09:45
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