The equation of Line A is y = x.A possible equation for Line B is:𝑦=−𝑥𝑦=−𝑥𝑦=3𝑥𝑦=3𝑥𝑦=𝑥3𝑦=𝑥3𝑦=𝑥+2𝑦=𝑥+2𝑦=𝑥−2
Question
The equation of Line A is y = x. A possible equation for Line B is:
- 𝑦 = −𝑥
- 𝑦 = 3𝑥
- 𝑦 = 𝑥3
- 𝑦 = 𝑥 + 2
- 𝑦 = 𝑥 − 2
Solution
The equation of Line A is y = x. This line has a slope of 1.
A possible equation for Line B could be any line that is not parallel to Line A. This means that Line B cannot have a slope of 1.
Looking at the options:
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y = -x: This line has a slope of -1, so it is not parallel to Line A. This could be a possible equation for Line B.
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y = 3x: This line has a slope of 3, so it is not parallel to Line A. This could be a possible equation for Line B.
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y = x/3: This line has a slope of 1/3, so it is not parallel to Line A. This could be a possible equation for Line B.
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y = x + 2: This line has a slope of 1, so it is parallel to Line A. This cannot be a possible equation for Line B.
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y = x - 2: This line also has a slope of 1, so it is parallel to Line A. This cannot be a possible equation for Line B.
So, the possible equations for Line B are y = -x, y = 3x, and y = x/3.
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