Respuesta :

The equation is y = -1/3x + 5

Answer:

y = - [tex]\frac{1}{3}[/tex] x + 5

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{1}{3}[/tex] , then

y = - [tex]\frac{1}{3}[/tex] x + c ← is the partial equation

To find c substitute (6, 3 ) into the partial equation

3 = - 2 + c ⇒ c = 3 + 2 = 5

y = - [tex]\frac{1}{3}[/tex] x + 5 ← equation of line