find an equation of the line containing the given pair of points. Use function notation to write the equation.

Question

(5/7,10/14) and (-1/7,13/14)

f(x)

Answer 1

The slope is (13/14 - 10/14)/(-1/7 - 5/7)
= -1/4
so the equation is y = (-1/4)x + b
plug in the first point
10/14 = (-1/4)(5/7) + b
times 28
20 = -5 + 28b
b = 25/28

y = (-1/4)x + 25/28

This is not a good question. If the purpose of the question is to see if you can find the equation of a line given two points, then using "simple" numbers would test that.
This is like having a 100 m butterfly race but insisting that all swimmers wear boots.