Why must the two points used to compute a slope have different x values?
AThe line would be curved
BThe line would be vertical
CThe line would be shortened
DThe line would be doubled
Answer & Solution
Correct answer: B. The line would be vertical
1. Slope is a change in y divided by a change in x.
2. Equal x values would make that denominator vanish.
3. Otherwise the line becomes perpendicular to the x-axis.
4. Its slope would then not be defined.
_Source: NCERT Class XI Mathematics, Ch 9 'Straight Lines'_
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