Respuesta :

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