The slope of the line: $2 x + 3 y + 1 = 0$ is

-2

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\frac{2}{3}

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\frac{- 2}{3}

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Solution

The correct option is C $\frac{- 2}{3}$
We are given with a line: $2 x + 3 y + 1 = 0$

Let the slope of the line be ' $m$ '.
$m = \frac{C h a n g e i n y}{C h a n g e i n x}$
$m = \frac{- 1 - \frac{- 1}{3}}{1 - 0}$
$m = - 1 + \frac{1}{3}$
$m = \frac{- 3}{3} + \frac{1}{3}$
$m = \frac{- 2}{3}$
The graph of the given line would look like:

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