A) find an equation for the family of linear functions with slope 2 and sketch several members of the family

B) a) find an equation for the family of linear functions such that f (2) = 1 and sketch several members of the family

C) Which functions belongs to both families

A.) Equation with a slope of 2 is given by y = 2x + c; where c is the y-intercept.

B.) Linera functions such that f (2) = 1 is given by: 2m + c = 1; where m is the slope and c is the y-intercept.

C.) For a function to belong to both families, 2 (2) + c = 1

c = 1 - 4 = 3

y = 2x - 3 belongs to both families.