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which linear inequality is represented by the graph?

y ≤ x + 2

y ≥ x + 2

y ≤ x + 2

y ≥ x + 2

Step 1

Find the slope of the line

Let    

we know that

the formula to calculate the slope between two points is equal to

substitute the values

Step 2

Find the equation of the line

we know that

the equation of the line into point-slope form is equal to

we have

substitute the values

Step 3

Find the linear inequality represented by the graph

we know that

in the graph the solution is the shaded area below the solid line

that means

the inequality  is equal to

therefore

the answer is

step-by-step explanation:

where is the questions

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation: