English

The slope of a line passing through two given points (\mathrm{A}\left(x_{1}, y_{1}\right)) and (\mathrm{B}\left(x_{2}, y_{2}\right)) is given by:

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Question

The slope of a line passing through two given points \(\mathrm{A}\left(x_{1}, y_{1}\right)\) and \(\mathrm{B}\left(x_{2}, y_{2}\right)\) is given by:

Options

  • \(m = \frac{x_{2} - x_{1}}{y_{2} - y_{1}}\)

  • \(m = \frac{y_{2} \times y_{1}}{x_{2} \times x_{1}}\)

  • \(m = \frac{x_{2} \times x_{1}}{y_{2} \times y_{1}}\)

  • \(m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\)

MCQ
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Solution

`bb(m = (y_2 - y_1)/(x_2 - x_1))`

Explanation:

Slope is the ratio of the rise to the run between the two points, i.e. $$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$$.

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Chapter 14: Equation of a Straight Line - COMPETENCY-FOCUSED QUESTIONS [Page 234]

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R.S. Aggarwal Mathematics [English] Class 10 ICSE
Chapter 14 Equation of a Straight Line
COMPETENCY-FOCUSED QUESTIONS | Q 6. | Page 234
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