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
2x + 3y + 1 = 0 ( subtract 2x + 1 from 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 m = - [tex]\frac{2}{3}[/tex] and c = - [tex]\frac{1}{3}[/tex]
