Question

Suppose f is a linear function with slope 3.7 and that f(4)=-7. What value of x gives f(x)=0?

Answer 1

`x=5.9`

Explanation:

we know that

The linear function in slope intercept form is equal to

`f(x)=mx+b`

we have

`m=3.7\\point (4,-7)`

substitute and solve for b

`-7=(3.7)(4)+b`

`-7=14.8+b`

`b=-21.8`

The linear function is

`f(x)=3.7x-21.8`

For f(x)=0

substitute and solve for x

`0=3.7x-21.8`

`3.7x=21.8`

`x=21.8/3.7`

`x=5.9`