Write a linear function f with the values f(−1)=8 and f(5)=6.

Answer 1

A linear function with the 2 values provided means that it will go through points (-1,8) and (5,6) Using these points, we can find the slope of the line.

m=(y2-y1)/(x2/x1) = (6-8)/(5-(1)) = -2/6 = -1/3

Now, we can pick one point and plug it into the point slope equation to find the equation of the line.

(y-6) = -1/3(x-5) Distribute -1/3

y-6 = -1/3x+5/3 Add 6 to both sides of the equation

y=-1/3x+23/3