Answer:
y = [tex]\frac{2}{3}[/tex] x - 2
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 )
Here m = [tex]\frac{2}{3}[/tex], thus
y = [tex]\frac{2}{3}[/tex] x + c ← is the partial equation
To find c substitute (- 6, - 6) into the partial equation
- 6 = - 4 + c ⇒ c = - 6 + 4 = - 2
y = [tex]\frac{2}{3}[/tex] x - 2 ← equation of line