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Mathematics

Assertion (A): The slope of the line passing through the points (3, –2) and (–7, –2) is 0.

Reason (R): The gradient (slope) of a line passing through the points (x1, y1) and (x2, y2) is x2x1y2y1\dfrac{x2 - x1}{y2 - y1}.

  1. A is true, R is false

  2. A is false, R is true

  3. Both A and R are true

  4. Both A and R are false

Straight Line Eq

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Answer

By formula,

Slope = y2y1x2x1=2(2)73=010=0\dfrac{y2 - y1}{x2 - x1} = \dfrac{-2 - (-2)}{-7 - 3} = \dfrac{0}{-10} = 0

The Assertion (A) is True and Reason (R) is false.

A is true, R is false

Hence, option 1 is the correct option.

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