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Mathematics

The slope of a line parallel to the line passing through the points A(3, –7) and B(5, –7) is:

  1. 2

  2. 1

  3. –1

  4. 0

Straight Line Eq

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Answer

Given, points A(3, –7) and B(5, –7)

Slope = y2y1x2x1\dfrac{y2 - y1}{x2 - x1}

Substitute values we get,

mAB=7(7)53=7+72=02=0.m_{AB} = \dfrac{-7 - (-7)}{5 - 3} \\[1em] = \dfrac{-7 + 7}{2} \\[1em] = \dfrac{0}{2} = 0.

As, slope of parallel lines are equal.

Thus, slope of line parallel to AB = 0.

Hence, option 4 is the correct option.

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