Answer:
m = [tex]\frac{2}{3}[/tex], c = - [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
3y - 2x = - 1 ( add 2 x to both sides )
3y = 2x - 1 ( divide terms by 3 )
y = [tex]\frac{2}{3}[/tex] x - [tex]\frac{1}{3}[/tex] ← in slope- intercept form
with slope m = [tex]\frac{2}{3}[/tex] and y- intercept c = - [tex]\frac{1}{3}[/tex]
