Answer:
y = [tex]\frac{1}{3}[/tex] x + [tex]\frac{11}{3}[/tex]
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 (- 2, 3) into the partial equation
3 = - [tex]\frac{2}{3}[/tex] + c ⇒ c = 3 + [tex]\frac{2}{3}[/tex] = [tex]\frac{11}{3}[/tex]
y = [tex]\frac{1}{3}[/tex] x + [tex]\frac{11}{3}[/tex] ← equation of line
