Find an equation of the line containing pair of points

Question

(1/6, 1/3) and (5/6, 3)
I can't seem to figure out the slope right, which apparently is 5. How does one get a five slope out of all these fractions?!!!
To find the slope 3-1/3 = 8/3 over
5/6 - 1/6 = 4/6 = 2/3
What am I doing wrong?

Answer 1

so the numerator is 8/3 and the denominator is 2/3

then (8/3) / (2/3)
= (8/3)(3/2) = 4 , not 5

equation: y = 4x + b
plug in (1/6, 1/3)
1/3 = 2/3 + b
b = -1/3

y = 4x - 1/3

Answer 2

Hi,
I got four also, but the program I ran gave me the answer as 5x +7/6. What bothers me about the program is we have to take tests with the program and the problems don't work out to be what our workbook says.

Thanks for your feedback.