Is y=5x+1/2 a linear function? Algebra Graphs of Linear Equations and Functions Applications of Linear Graphs 1 Answer VinÃcius Ferraz Jun 28, 2017 No, it is not. Explanation: #f(x)# is linear if #f(a + b) = f(a) + f(b) and f(lambda x) = lambda f(x)# #f(x) = 5x + 1/2# #f(lambda x) = 5 lambda x + 1/2# #lambda f(x) = 5 lambda x + lambda/2# #1/2 = lambda / 2 => lambda = 1# and not for all lambda's. Answer link Related questions What are different real world problems that are modeled by Linear equations? How do you use a graph to determine how many hours are required to earn $60 if a job pays $20 per hour? What are the dimensions of a soccer field if the perimeter is 300 years and the length is 50... How many of each calculator was sold if a simple calculator costs $5 and scientific calculator... Is this a linear equation #xy=6#? Is this a linear equation #y^2- 4x=6#? Is this a linear equation #y=0#? Is this a linear equation #4x=2y#? Is this a linear equation #5x+6y=3x-2#? How do you determine if (-5, -4) is a solution of #9x - 4y = -6#? See all questions in Applications of Linear Graphs Impact of this question 4068 views around the world You can reuse this answer Creative Commons License