The graph of a certain linear function passes through point (1,1) with a slope of 5. which set of ordered pairs will be on that line?

a : (2,6) and (4,14)

b : (16,4) and (36,8)

c : (4,16) and (8,36)

d : (4,20) and (8,40)

To know if the given ordered pairs in the choices exist on the line, first, we must obtain the standard equation of the line using the point-slope formula. Afterwards, we substitute the given ordered pairs and see if they equate to each other. This is shown below:

y - 1 = 5(x - 1)
y - 1 = 5x - 5
y = 5x - 4

Testing C: (4,16) and (8,36)

16 = 5(4) - 4
16 = 16 || OK

36 = 5(8) - 4
36 = 36 || OK

Therefore, the correct answer is C.