Determine the slope of a line that is written in standard form `ax+by = c` , change to slope-intercept form `y = mx+b` .

`3x - 2y = 1` Subtract 3x from each side.

`-2y = -3x + 1` Divide each term by -2.

`y = 3/2x -1/2`

**Now that the equation is in slope-intercept form, slope is `3/2` **

This makes the second choice the correct one.

The slope of the line 3x - 2y = 1 has to be determined.

Rewrite the given equation in the form y = ax + b

3x - 2y = 1

=> 2y = 3x - 1

=> y = (3/2)x - 1/2

The slope of the equation is 3/2

**The correct answer is option 2**

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