Question

The function f(x) is shown in the graph. What is the equation for f(x)?

f(x)=____

Answer 1

I think it's f(x)=7/3x–5

Answer 2

`f(x)=(3x)/(7) -5`

Explanation:

Hello

you can look for two points in the graph and find the slope

p1(0,-5) and p2(7,-2)

`m=(y2-y1)/(x2-x1) \\m=(-2+5)/(7-0) \\m=(3)/(7) \\m=(3)/(7)`

then , with the slope- point equation you are able to find f(x) ,let´s use p1(0,-5)

`y-y_(0) =m(x-x_(0) )\\\\`

`y-(-5)=(3)/(7) (x-0)\\y=(3x)/(7) -5\\\\f(x)=(3x)/(7) -5`

Have a great day