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Line L passes through the points (3, 4) and (6, 5) in the xy-plane. Wh
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03 Jun 2021, 10:16
03 Jun 2021, 10:16
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Line \( \ell \) passes through the points (3, 4) and (6, 5) in the xy-plane. Which of the following could be the equation of a line parallel to line \(\ell\)?
Indicate all such equations.
A. \(y = 2x + 7\)
B. \(y = 3x – 4\)
C. \(y = \frac{1}{3} x – 5\)
D. \(y= \frac{1}{3} x + 2\)
E. \(y = 3x + 2\)
F. \(y = x – 3\)
Indicate all such equations.
A. \(y = 2x + 7\)
B. \(y = 3x – 4\)
C. \(y = \frac{1}{3} x – 5\)
D. \(y= \frac{1}{3} x + 2\)
E. \(y = 3x + 2\)
F. \(y = x – 3\)
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Re: Line L passes through the points (3, 4) and (6, 5) in the xy-plane. Wh
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03 Jun 2021, 11:25
03 Jun 2021, 11:25
1
Carcass wrote:
Line \( \ell \) passes through the points (3, 4) and (6, 5) in the xy-plane. Which of the following could be the equation of a line parallel to line \(\ell\)?
Indicate all such equations.
A. \(y = 2x + 7\)
B. \(y = 3x – 4\)
C. \(y = \frac{1}{3} x – 5\)
D. \(y= \frac{1}{3} x + 2\)
E. \(y = 3x + 2\)
F. \(y = x – 3\)
Indicate all such equations.
A. \(y = 2x + 7\)
B. \(y = 3x – 4\)
C. \(y = \frac{1}{3} x – 5\)
D. \(y= \frac{1}{3} x + 2\)
E. \(y = 3x + 2\)
F. \(y = x – 3\)
Key concept: Parallel lines have same slope
Let us find the slope of line \(l_1\), \(m = \frac{(5 - 4)}{(6 - 3)} = \frac{1}{3}\)
Therefore, equation of a line parallel to \(l_1\) will have an equation, \(y = \frac{1}{3}x + c\)
Hence, option C and D
Re: Line L passes through the points (3, 4) and (6, 5) in the xy-plane. Wh
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31 Aug 2024, 03:06
31 Aug 2024, 03:06
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