 # Which linear inequality is represented by the graph?

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jrveqbcrefba2

Mathematics

### Question Description  Student has agreed that all tutoring, explanations, and answers provided by the tutor will be used to help in the learning process and in accordance with Studypool's honor code & terms of service. First find the equation of the graph by using any two points on the line:

I will use the points (0, 3)  and (1,1)

Gradient = (3-1)/(0-1)=  2/-1 = -2

Generally, the equation of a line is given by y = mx + c,  where m is the gradient and c is the y intercept, i.e the value of y when x is 0,

m = -2

c = 3

so the equation is y = -2x + 3

Now choose any point in the graph that satisfy the conditions and substitute in the equation,

For me I choose (-2, 1)

y = -2x + 3

-2 = -2(-2) +3

-2 = 4+3

-2 < 7

So the linear equality represented by the above graph is y < -2x + 3 Znljrngure (69)
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