Question: A family of linear functions is given by f(x) = mx + (3 - 2 m) where x is the independent variable and m is a constant.
a) Graph f for m = 0, 1, 2, -3 and -5
b) What do all the graphs in part a) have in common?
c) Justify your answer to part b) analytically.
d) Write the equation of the family of functions whose graphs pass by the same point (- 2 , - 4).