Answer:
y = [tex]\frac{2}{3}[/tex] x + [tex]\frac{13}{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{2}{3}[/tex], hence
y = [tex]\frac{2}{3}[/tex] x + c ← is the partial equation
to find c substitute (- 2, 3) into the partial equation
3 = - [tex]\frac{4}{3}[/tex] + c ⇒ c = 3 + [tex]\frac{4}{3}[/tex] = [tex]\frac{13}{3}[/tex]
y = [tex]\frac{2}{3}[/tex] x + [tex]\frac{13}{3}[/tex] ← equation of line
