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In the xy-plane, the points (5, e) and (f, 7) are on a line t
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19 May 2021, 02:06
19 May 2021, 02:06
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In the xy-plane, the points (5, e) and (f, 7) are on a line that is perpendicular to the graph of the line y=โ15x+12. Which of the following represents e in terms of f?
A. 5๐+32
B. โ5๐+32
C. 5๐+25
D. โ15๐+32
E. 15๐+32
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
A. 5๐+32
B. โ5๐+32
C. 5๐+25
D. โ15๐+32
E. 15๐+32
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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Re: In the xy-plane, the points (5, e) and (f, 7) are on a line t
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19 May 2021, 11:48
19 May 2021, 11:48
1
Carcass wrote:
In the xy-plane, the points (5, e) and (f, 7) are on a line that is perpendicular to the graph of the line y=โ15x+12. Which of the following represents e in terms of f?
A. 5๐+32
B. โ5๐+32
C. 5๐+25
D. โ15๐+32
E. 15๐+32
A. 5๐+32
B. โ5๐+32
C. 5๐+25
D. โ15๐+32
E. 15๐+32
Product of the slopes of perpendicular lines is -1
i.e. (m1)(m2)=โ1
(โ15)(m2)=โ1
m2=5
Applying slope formula;
5=(eโ7)(5โf)
25โ5f=eโ7
e=โ5f+32
Hence, option B
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Re: In the xy-plane, the points (5, e) and (f, 7) are on a line t
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01 Jul 2024, 04:30
01 Jul 2024, 04:30
2
โงโงโง Detailed Video Explanation to the Problem โงโงโง
Given that the points (5, e) and (f, 7) are on a line that is perpendicular to the graph of the line y=โ15x+12. We need to express e in terms of f.
y=โ15x+12
=> Slope of the line = โ15
We know that if two lines are perpendicular then product of their slopes = -1
=> Slope of the perpendicular line * โ15 = -1
=> Slope of the perpendicular line = 5
Now, the line passes through the points (5, e) and (f, 7)
=> Slope = 7โefโ5 = 5
=> 7 - e = 5f - 25
=> e = 32 - 5f = -5f + 32
So, Answer will be B
Hope it helps!
Watch the following video to MASTE Slope of Line
ยญยญ
Given that the points (5, e) and (f, 7) are on a line that is perpendicular to the graph of the line y=โ15x+12. We need to express e in terms of f.
y=โ15x+12
=> Slope of the line = โ15
We know that if two lines are perpendicular then product of their slopes = -1
=> Slope of the perpendicular line * โ15 = -1
=> Slope of the perpendicular line = 5
Now, the line passes through the points (5, e) and (f, 7)
=> Slope = 7โefโ5 = 5
=> 7 - e = 5f - 25
=> e = 32 - 5f = -5f + 32
So, Answer will be B
Hope it helps!
Watch the following video to MASTE Slope of Line
ยญยญ
