Question

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

Answer 1

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.

Answer 2

The equation is :
y = -.5/1 + 1