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madreJ [45]
3 years ago
11

What is the linear function equation represented by the graph? f (x) = ?

Mathematics
2 answers:
scoundrel [369]3 years ago
8 0

Answer:

f(x)=-\frac{1}{2}x+2

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: y=mx+b, where,

m = Slope of line,

b = The y-intercept or initial value.

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

m=\frac{y_2-y_1}{x_2-x_1}, where,

y_2-y_1 = Difference between two y-coordinates,

x_2-x_1 = 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,

m=\frac{0-1}{2-0}

m=\frac{-1}{2}

m=-\frac{1}{2}

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:

f(x)=-\frac{1}{2}x+2

Therefore, the equation f(x)=-\frac{1}{2}x+2 is represented by our given function.

Alex Ar [27]3 years ago
5 0
The equation is :
y = -.5/1 + 1
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