Answer:
A
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 )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, 0 ) and (x₂, y₂ ) = (0, - 2 ) ← 2 points on the line
m = [tex]\frac{-2-0}{0-(-3)}[/tex] = [tex]\frac{-2}{0+3}[/tex] = - [tex]\frac{2}{3}[/tex]
The line crosses the y- axis at (0, - 2 ) ⇒ c = - 2
f(x) = - [tex]\frac{2}{3}[/tex] x - 2 ← function rule