Answer: F(x) = (-5/6) x + 13/42
Step-by-step explanation: The provided points are (x1, y1) = (2/7, 3/7) and (x2, y2) = (-1/7, 11/14) respectively.
The following formula can be used to determine the slope of the line connecting the two points:
m = (y2 - y1)/(x2 - x1)
m = (11/14 - 3/7)/(-1/7 - 2/7)
m = (5/14)/(-3/7)
m = -5/6
In order to construct the equation of the line, we can now utilize the point-slope form:
y - y1 = m(x - x1)
The result of substituting the values of m, x1, and y1 is:
y - 3/7 = (-5/6)(x - 2/7).