Question

What is the linear function equation represented by the graph?

Answer 1

Answer:

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

Step-by-step explanation:

According to the graph, we get the co-ordinates (0,1) and (2,0).

The general form of a linear function is f(x)=mx+c, where m is the slope and c is the y-intercept.

So, using the given co-ordinates (0,1) and (2,0), we will find the slope m.

i.e. $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

i.e. $m=\frac{0-1}{2-0}$

i.e. $m=\frac{-1}{2}$

Now, using slope $m=\frac{-1}{2}$ and point (0,1), we will find the value of c.

i.e. f(x) = mx + c

i.e. 1 = 0x + c

i.e. c = 1.

Hence, the equation of the graphed linear function is $f(x)=\frac{-x}{2} +1$.

Answer 2

Y=-5/3x+1
I hope this helps!