Answer:
A
Step-by-step explanation:
the equation of the 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, 3 ) and (x₂, y₂ ) = (0, 1) ← 2 points on the line
m = [tex]\frac{1-3}{0-(-3)}[/tex] = [tex]\frac{-2}{0+3}[/tex] = - [tex]\frac{2}{3}[/tex]
the line crosses the y- axis at (0, 1 ) ⇒ c = 1
y = - [tex]\frac{2}{3}[/tex] x + 1 ← equation of line
the solutions to the inequality lie above the line, including the line, in the shaded area , then
y ≥ - [tex]\frac{2}{3}[/tex] x + 1 → A
