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Is it possible for a line ax+by=c to lack a y-intercept? To lack an x-intercept

Is it possible for a line ax+by=c to lack a y-intercept? To lack an x-intercept
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4 votes
Is it possible for a line ax+by=c to lack a y-intercept? To lack an x-intercept

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User Brass Monkey
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2 Answers

4 votes
No, and no. A linear equation always touches both axes, and therefore cannot lack either intercept (it always has exactly 2, one Y and one X)
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User Lars
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8.5k points
2 votes
No it is not because the line is infinite it will cross one no matter how far along it may be.
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User Mote
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8.4k points
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