found by transforming the equation into the y = mx + c form, where m represents the slope.
Let's start by rearranging the terms:
We take 2x from both sides of the equation, resulting to:
3y = -2x + 1
Next step is to change this equation to the form y = mx + c. To do that, we divide all terms by 3 with the purpose of isolating y:
y = (-2x + 1) / 3
This shows that the slope 'm' of the line represented by the equation 3y + 2x =1 is -2/3, which is approximately -0.6666666666666666 when calculated.