Answer:
y = [tex]\frac{1}{3}[/tex] x - 4
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], thus
y = [tex]\frac{1}{3}[/tex] x + c ← is the partial equation
To find c substitute (- 3, - 5) into the partial equation
- 5 = - 1 + c ⇒ c = - 5 + 1 = - 4
y = [tex]\frac{1}{3}[/tex] x - 4 ← equation of line
