Question

What is the linear function equation represented by the graph?

Enter your answer in the box.

f(x)=

Answer 1

Look at the picture.

The point-slope form of a line:

`y-y_1=m(x-x_1)\\\\m=(y_2-y_1)/(x_2-x_1)`

We have the points (0, 1) and (2, 0). Substitute:

`m=(0-1)/(2-0)=(-1)/(2)=-(1)/(2)\\\\y-1=-(1)/(2)(x-0)\\\\y-1=-(1)/(2)x\qquad|+1\\\\y=-(1)/(2)x+1`

Answer:
`f(x)=-(1)/(2)x+1`