Question

Question Write a linear function f with f(0)=7 and f(3)=1.

Answer 1

f(0) = 7 says the point (0,7) is on the line.

f(3) = 1 says the point (3,1) is on the line.

Using the slope formula:

`m=(1-7)/(3-0)=(-6)/(3)=-2`

Now the first point given, (0,7), is the y-intercept, our "b" value.

y = -2x + 7

As a function: f(x) = -2x + 7