Answer:
slope = [tex]\frac{2}{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
3(y - 1) = 2x + 2 ← distribute parenthesis on left side
3y - 3 = 2x + 2 ( add 3 to both sides )
3y = 2x + 5 ( divide all terms by 3 )
y = [tex]\frac{2}{3}[/tex] x + [tex]\frac{5}{3}[/tex] ← in slope- intercept form
with slope m = [tex]\frac{2}{3}[/tex]