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Mathematics

The line passing through the points (-7, 4) and (5, 4) is parallel to :

  1. x-axis

  2. y-axis

  3. x + y = 0

  4. x - y = 0

Straight Line Eq

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Answer

By formula,

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

Substituting values we get :

Slope of line passing through (-7, 4) and (5, 4)

= 445(7)=05+7=012\dfrac{4 - 4}{5 - (-7)} = \dfrac{0}{5 + 7} = \dfrac{0}{12} = 0.

We know that,

Slope of parallel lines are equal.

We know that,

Slope of x-axis = 0.

∴ Slope of line passing through (-7, 4) and (5, 4) = Slope of x-axis.

Hence, Option 1 is the correct option.

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