Which linear inequality is represented by the graph?

Answer:
y > 2 / 3x + 3 ; Option C
Step-by-step explanation:
Consider the y - intercept and slope of the following graph;
[tex]y - intercept = ( 0, 3 ) In Other Words - 3\\slope = rise / run = 2 / 3, In Other Words- slope = 2 / 3[/tex]
Now let us formulate an equation given this information;
[tex]Take Equation In Form - y = ax + b, where a - slope, b - yintercept,\\y = ax + b, a = 2 / 3, b = 3, substitute\\y = 2 / 3x + 3[/tex]
If this graph represents a dotted line, the shaded portion being > than that of the line, we can say that instead of the = being in the equation y = 2 / 3x + 3, take a greater than sign!
[tex]Solution ; y > 2 / 3x + 3[/tex]
y > 2 / 3x + 3 ; Option C