The inequality represented by the graph is: y ≤ 1/3x -1.3
Step-by-step explanation:
First you can graph the equations in a graph tool to visualize the graph that resembles this one in question. The attached graph is for the inequality;
y ≤ 1/3 x - 1.3
You can use the points indicated on the graph to find the equation and then test the inequality using the feasible region.
In this case, the line is complete not dotted so you should have in mind that the inequality is ≤ or ≥
Taking points (0,-1.3) and (3,-0.3)
Find the slope of the line, then the equation
slope,m=rise/run = Δy/Δx = -0.3--1.3 / 3-0 = -0.3+1.3 / 3 = 1/3
You notice that the y-intercept is -1.3, where x=0 so the linear equation is;
y=1/3x - 1.3
Now test with a value in the accepted region to identify your inequality
Taking point (3,-3)
and
y =1/3 x -1.3
-3 = 1/3*3 -1.3
-3 = 1-1.3
-3 = -0.3 --------------- apply the inequality here
-3 ≤ -0.3
So the inequality is; y ≤ 1/3x -1.3
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Inequalities :https://brainly.com/question/11234618
Keyword : inequality, graph
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