Graph the function with the given description. A linear function f models a relationship in which the dependent variable decreases 4 units for every 2 units t

Question

Graph the function with the given description.

A linear function f
models a relationship in which the dependent variable decreases 4 units for every 2 units the independent variable increases. The value of the function at 0
is −2
.

Answer 1

f(t) = at + b

 

a = slope = -4/2 = -2

 

f(t) = -2t + b

 

f(0) = -2 ⇒ b = -2

 

f(t) = -2t - 2 = -2(t + 1) 

 

This forum is not set up for graphing, but the plot is a straight line passing through (0,-2) and (-1,0).