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

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Bunuel
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What is the slope of a line that passes through points (5, 10) and (20 [#permalink] New post   14 Feb 2018, 23:39
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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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A
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Re: What is the slope of a line that passes through points (5, 10) and (20 [#permalink] New post   15 Feb 2018, 00:05
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Slope of the line\(\frac{y2-y1}{x2-x1}\)= \(\frac{(15-10)}{(20-5)}\) = 5/15 = 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] New post   15 Feb 2018, 00:07
Slope = y2-y1/x2-x1
=15-10/20-5
= 5/15
= 1/3 option A
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Re: What is the slope of a line that passes through points (5, 10) and (20 [#permalink] New post   15 Feb 2018, 00:13
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] New post   20 Feb 2018, 06:21
slope m = rise / run

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

= 1/3

thanks
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Re: What is the slope of a line that passes through points (5, 10) and (20 [#permalink] New post   22 Feb 2018, 09:14
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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

Answer: A
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What is the slope of a line that passes through points (5, 10) and (20 [#permalink] New post   05 Jul 2022, 20:54
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


Slope: (15-10)/(20-5)
5/15 = 1/3
Answer: A
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Re: What is the slope of a line that passes through points (5, 10) and (20 [#permalink] New post   06 Jul 2022, 06:08
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Think of the slope of a line as "how much y changes when x increases by 1". A slope of 2 means that every time x increases by 1, y will increase by 2. A slope of -1/2 means that when x increases by 1, y will decrease by -1/2.

In this example, we have points (5, 10) and (20, 15).

x has increased from 5 to 20, i.e. by 15, while y has increased by 5, from 10 to 15. The slope is positive, since both values increase, and is 1/3 since y has increased only a third of what x has. In other words, for each increment of x, y increases by 1/3.

Answer A
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Re: What is the slope of a line that passes through points (5, 10) and (20 [#permalink]
06 Jul 2022, 06:08
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