Which linear inequality is represented by the graph?

1. y > 2/3x -2
2. y < 2/3x +2
3. y > 2/3x +1
4. y < 2/3x -1

Option 4

Step-by-step explanation:

It is clear that the line shown in the graph cuts to the y-axis at y = -1. Therefore, the equation that represents the line in the graph must be equal to -1 when x = 0.

The area that covers the inequality is below the line. Therefore, in this inequality the y-axis values must be less than the values of the linear function. That is to say:

.

The only option that meets these conditions is option 4. Therefore the inequality represented in the image is:

Observe that:

If x = 0

Then

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btw in my country we just have sun and rain as (because i live in the caribbean lol)

also, thx a lot for the points : )

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).