Answer:
y = 1/4x +1/8
Explanation:
You want to know the equation of the table showing a linear function and points (0, 1/8), (1, 3/8).
Y-intercept
The y-intercept of the line described by this table is the y-value when x=0. That value is 1/8.
Slope
The slope of the line described by the table is the difference in y-values for a difference in x-values of 1. The difference between x=1 and x=0 is ...
∆y = 3/8 -1/8 = 2/8 = 1/4
Slope-intercept equation
The slope-intercept equation for the table is then ...
y = mx +b . . . . . . . line with slope m and y-intercept b
y = 1/4x +1/8 . . . . . line with slope 1/4 and y-intercept 1/8
The equation of the table is ...
y = 1/4x +1/8