Answer:
y = [tex]\frac{2}{3}[/tex] x - 3
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 (3, - 1) into the partial equation
- 1 = 2 + c ⇒ c = - 1 - 2 = - 3
y = [tex]\frac{2}{3}[/tex] x - 3 ← equation of line