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Mathematics

The slope of a line parallel to the line 2x + 3y - 7 = 0 is

  1. 23-\dfrac{2}{3}

  2. 23\dfrac{2}{3}

  3. 32-\dfrac{3}{2}

  4. 32\dfrac{3}{2}

Straight Line Eq

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Answer

Given, 2x + 3y - 7 = 0.

⇒ 3y = -2x + 7

⇒ y = 23x+73-\dfrac{2}{3}x + \dfrac{7}{3}.

Comparing with y = mx + c we get,

m = 23-\dfrac{2}{3}.

Since, parallel lines have equal slopes so the slope of line parallel to 2x + 3y - 7 = 0 is 23-\dfrac{2}{3}.

Hence, Option 1 is the correct option.

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