Step-by-step explanation:
Standard form for equation of line:
y = mx + c
where m = slope,
c = y intercept.
now we have to arrange the equation to fit the standard form.
[tex]3y + 2x = 1 \\ 3y = 1 - 2x \\ 3y = - 2x + 1 \\ y = \frac{ - 2x + 1}{3} \\ y = - \frac{2}{3} x + \frac{1}{3} [/tex]
From here, you can see the slope, m = -2/3 and the y-intercept, c = 1/3
