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

User Chatax
by
8.2k points

1 Answer

2 votes

Answer:


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

User Bert Goethals
by
7.9k points

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