16. The slope between points (2, 6) and (4, 10) is (10 - 6)/(4 - 2) = 4/2 = 2.
The slope between points (4, 10) and (6, 14) is (14 - 10)/(6 - 4) = 4/2 = 2.
Since the slopes are equal, this is a linear function.
17. The slope between points (1, 2) and (2, 4) is (4 - 2)/(2 - 1) = 2/1 = 2.
The slope between points (2, 4) and (3, 8) is (8 - 4)/(3 - 2) = 4/1 = 4.
Since the slopes are different, this is NOT a linear function.
18. The slope between points (0, 0) and (1, 1) is (1 - 0)/(1 - 0) = 1/1 = 1.
The slope between points (1, 1) and (2, 4) is (4 - 1)/(2 - 1) = 3/1 = 3.
Since the slopes are different, this is NOT a linear function.
19. The slope between points (2, 3) and (4, 5) is (5 - 3)/(4 - 2) = 2/2 = 1.
The slope between points (4, 5) and (6, 7) is (7 - 5)/(6 - 4) = 2/2 = 1.
Since the slopes are equal, this is a linear function.
Parent Tip: Review the logic above to help your child master the concept of linear and nonlinear equations worksheet.
