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Every point on a line has x-coordinate 6. What is the slope of that line?
AIt is equal to 6
BIt is undefined
CIt is equal to 0
DIt is equal to 1
Answer & Solution
Correct answer: B. It is undefined
1. All the points share one x-coordinate, so the line is vertical.
2. The change in x between any two of its points is 0.
3. Slope divides the change in y by the change in x, and division by 0 has no meaning.
4. So the slope of a vertical line is undefined, unlike a horizontal line whose slope is 0.
_Source: OpenStax College Algebra (CC BY 4.0), section 2.2 Linear Equations in One Variable_
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