What is the linear function equation represented by the graph?

f (x) = ?

Step-by-step explanation:

We have been given a graph of a function and we are asked to find the equation for our given function.

We will write formula for our given function in slope-intercept form of equation: , where,

m = Slope of line,

b = The y-intercept or initial value.

Let us find slope of our given line using slope formula.

, where,

= Difference between two y-coordinates,

= Difference between two x-coordinates of same y-coordinates.

Upon substituting coordinates of points (0,1) and (2,0) in slope formula we will get,

We can see that initial value of our function is 2, so y-intercept will be 2.

Upon substituting our given values in slope-intercept form of equation we will get our function formula as:

Therefore, the equation is represented by our given function.

the answer is here: : )

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correct answers below: