Write a linear function that satisfies the given condition f(-8)=4 f(0)=28

Answer 1

those conditions are the same as finding a line through the two points (-8,4) and (0,28)

they have slope = (28-4)/(0--8) = 24/8 = 3=m

y=mx+b is the general form for a linear equation with m=slope and b=y intercept

y=3x +b plug in either point to solve for b

28 = 3(0) + b

b =28

y=3x+28 is the line

or

f(x) = 3x+28 is the function satisfying the two given functional relations