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Line A is perpendicular to the line with the equation
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10 Jan 2022, 03:24
10 Jan 2022, 03:24
Expert Reply
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Question Stats:
78% (01:26) correct
21% (01:44) wrong based on 19 sessions
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Line A is perpendicular to the line with the equation \(y= - \frac{1}{5}x\) and the point (3, -10) is on line A. Which of the following is the equation of line A?
A. \(y=- \frac{1}{5} x - \frac{47}{5}\)
B. \(y = \frac{1}{5} x -\frac{53}{5}\)
C. \(y = 5x\)
D. \(y=5x - 5\)
E. \(y=5x - 25\)
A. \(y=- \frac{1}{5} x - \frac{47}{5}\)
B. \(y = \frac{1}{5} x -\frac{53}{5}\)
C. \(y = 5x\)
D. \(y=5x - 5\)
E. \(y=5x - 25\)
Re: Line A is perpendicular to the line with the equation
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26 Jan 2022, 08:07
26 Jan 2022, 08:07
We are given that Point \((3 , -10)\) is on line \(A\).
So it will satisfy the equation of line \(A\).
Put \(x = 3\) & \(y = -10\) in the options and whichever suffices will be the answer.
\(y=5x - 25\)
Answer E
So it will satisfy the equation of line \(A\).
Put \(x = 3\) & \(y = -10\) in the options and whichever suffices will be the answer.
\(y=5x - 25\)
Answer E
Re: Line A is perpendicular to the line with the equation
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29 Oct 2024, 04:37
29 Oct 2024, 04:37
1
The explanation above is not sufficient enough in order to determine which Option is right.
If we substitute for x=3 in B we also get -10 as in E.
But the question gives us an hint. Namely that the Line A is perpendicular to the given equation.
This means that both lines are orthogonal (Charing a 90-degree angle).
But how can you prove this quickly?
If m1* m2=-1 then they are perpendicular.
So if the slope of Line A and the slope of our given equation have an product of -1 then it is fullfilled.
In the case of B it means: 1/5 * -1/5 = - 1/25
For E: 5* -1/5 = -1
So only the Equation of E is perpendicular to y=-1/5x and therefore E is the right answer
Cheers
If we substitute for x=3 in B we also get -10 as in E.
But the question gives us an hint. Namely that the Line A is perpendicular to the given equation.
This means that both lines are orthogonal (Charing a 90-degree angle).
But how can you prove this quickly?
If m1* m2=-1 then they are perpendicular.
So if the slope of Line A and the slope of our given equation have an product of -1 then it is fullfilled.
In the case of B it means: 1/5 * -1/5 = - 1/25
For E: 5* -1/5 = -1
So only the Equation of E is perpendicular to y=-1/5x and therefore E is the right answer
Cheers
