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# What is the slope of a line that passes through points (5, 10) and (20

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Math Expert
Joined: 02 Sep 2009
Posts: 51122
What is the slope of a line that passes through points (5, 10) and (20  [#permalink]

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14 Feb 2018, 22:39
00:00

Difficulty:

5% (low)

Question Stats:

86% (00:26) correct 14% (00:55) wrong based on 61 sessions

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What is the slope of a line that passes through points (5, 10) and (20, 15)?

A. 1/3

B. 1/2

C. 3/2

D. 2

E. 3

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Senior Manager
Joined: 31 May 2017
Posts: 320
Re: What is the slope of a line that passes through points (5, 10) and (20  [#permalink]

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14 Feb 2018, 23:05
1
Slope of the line$$\frac{y2-y1}{x2-x1}$$= $$\frac{(15-10)}{(20-5)}$$ = 5/15 = 1/3

Ans: A
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Manager
Joined: 20 Feb 2017
Posts: 164
Location: India
Concentration: Operations, Strategy
WE: Engineering (Other)
Re: What is the slope of a line that passes through points (5, 10) and (20  [#permalink]

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14 Feb 2018, 23:07
Slope = y2-y1/x2-x1
=15-10/20-5
= 5/15
= 1/3 option A
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Intern
Joined: 23 May 2015
Posts: 24
Re: What is the slope of a line that passes through points (5, 10) and (20  [#permalink]

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14 Feb 2018, 23:13
Bunuel wrote:
What is the slope of a line that passes through points (5, 10) and (20, 15)?

A. 1/3

B. 1/2

C. 3/2

D. 2

E. 3

Soln:
Let A(5,10) and B(20,15) are the two points
from which the line passes.

So the equation of the line is given by

(15-10)/(20-5) = (Y-10)/(X-5)
3Y= X+25
therefore ; Y= X/3 +25/3 (in the form of Y=mX+C)

the slope of the line is 1/3
ans (A)
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Re: What is the slope of a line that passes through points (5, 10) and (20  [#permalink]

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20 Feb 2018, 05:21
slope m = rise / run

so (15 - 10) / (20 - 5)

= 1/3

thanks
Target Test Prep Representative
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2830
Re: What is the slope of a line that passes through points (5, 10) and (20  [#permalink]

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22 Feb 2018, 08:14
Bunuel wrote:
What is the slope of a line that passes through points (5, 10) and (20, 15)?

A. 1/3

B. 1/2

C. 3/2

D. 2

E. 3

We can use the slope formula m = (y2 - y1)/(x2 - x1):

(15 - 10)/(20 - 5) = 5/15 = 1/3

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Re: What is the slope of a line that passes through points (5, 10) and (20 &nbs [#permalink] 22 Feb 2018, 08:14
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