Since everything to the right of the line is shaded, the linear inequality which represents the graph is equal to: A. y ≥ 1/3x - 4.
In order to determine the linear inequality which represents the graph, we would find the slope of the given points.
Mathematically, the slope of a straight line can be calculated by using this formula;
[tex]Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]
Substituting the given points into the formula, we have;
[tex]Slope = \frac{-4\;-\;(-5)}{0\;-\;(-3)}\\\\Slope = \frac{1}{3}[/tex]
Slope = 1/3.
From the standard equation, we have:
y - y₁ = m(x - x₁)
y - (-5) = 1/3(x - (-3))
y + 5 = 1/3x + 1
y = 1/3x + 1 - 5
y = 1/3x - 4
y ≥ 1/3x - 4.
Read more on slope here: brainly.com/question/3493733
#SPJ1
