Question

Write the linear inequality shown in the graph.

Answer 1

Fist, in the equation y=mx+b, b is the y-intercept. The y-intercept is the poin on the line that crosses the x-axis; the y-intercept is the value of yThese equations follow that format. 
Y=mx+b
y$\geq$ 3x-4. <-----In this equation, the slope(m)=3 b= -4. 

On the graph, we can see that the line crosses the x-axis at y=-4. Knowing that, we can eliminate the answer choices with +4 in the inequality.


The next step, is to pick an (x,y) coordinate that is in the shaded region and plug it into the remaining 2 inequalities. Which ever inequality is true after you solve it, that is the correct answer.  
For example, I'll choose to plug in (-4,4) into the y$\geq$ 3x-4. 
y$\geq$ 3x-4. 
(4)$\geq$ (3(-4))-4. 
(4)$\geq$ (-12)-4. 
(4)$\geq$ -16

So, this statement is true becasue -16 is less than positive 4.  Therefore, the correct answer would be y$\geq$ 3x-4. Hope that helped! Comment back with any further questions!