Question

Write a linear function f with the values F (-1) = 5 and F (3) = 4

Answer 1

When they say f(-1) = -5 they mean the point (-1, 5) is on the line.

When they say f(3) = 4 they mean the point (3, 4) is on the line.

Find the slope: m = (y2-y1)/(x2-x1) = (4-5)/(3-(-1)) = -1/4

then we replace m, and one of the given points in the slope-point equation of a linear function:

(y-4)=-1/4(x-3) then:

`y=-(1)/(4)x+(19)/(4)`

and it would be the final answer, you can check f(-1)=5 and f(3)=4 to verify that it's the correct function.