Question

What function equation is represented by the graph?

f(x)=−1/4x−3

f(x)=1/4x+3

f(x)=−4x−3

f(x)=1/4x−3

Answer 1

f(x)=1/4x−3 is the the right answer

took the test and got it right.

Answer 2

In the given graph, lets mark two points:

Let
`A = (0,-3)` and
`B = (4,-2)`

The slope of the line is given by:

`m = ((-2)-(-3))/((4)-(0))`

`m = (-2+3)/(4)`

`m = (1)/(4)`

The equation of the line is given by:

`(y-y_1)=m(x-x_1)`

`(y-(-3))=((1)/(4))(x-0)`

`4(y+3)=x`

`4y+12=x`

`4y=x-12`

`y= (1)/(4)x-3`

Therefore, the function equation represented by the graph is:
`f(x)= (1)/(4)x-3`