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The slope of the line 4x + 3y - 4 = 0 is:

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HTET TGT Mathematics 2021 Official Paper
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  1. \(\frac{3}{4}\)
  2. \(-\frac{4}{3}\)
  3. \(\frac{4}{3}\)
  4. \(-\frac{3}{4}\)

Answer (Detailed Solution Below)

Option 2 : \(-\frac{4}{3}\)
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Detailed Solution

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Concept:

The general equation of a line is y = mx + c, where m is the slope. 

Calculation:

The given equation is 4x + 3y - 4 = 0

⇒ 3y = -4x + 4

⇒ y = (-4/3)x + 4/3

On compairing it with y = mx + c, we get

Slope, m = -4/3

Hence, the slope of the line is \(-\frac{4}{3}\).

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