Answer:
y = [tex]\frac{2}{3}[/tex] x + 1
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 (- 9, - 5) into the partial equation, that is
- 5 = - 6 + c ⇒ c = - 5 + 6 = 1
y = [tex]\frac{2}{3}[/tex] x + 1 ← equation of line
