A line has a general equation of
y = mx + b
where b is the y-intercept and slope of m.
Since (0,1) is the value of y when x=0, it is the point of intersection of the line with the y-axis, hence the y-intercept is b=1.
We are given the slope is m=4/5
So the equation of the line is
y=(4/5)x+1
To eliminate fractions (as in the answer choices), we multiply by 5,
5y=4x+5
The only equivalent out of the answer choices is
5y-4x=5 after subtracting 4x from both sides.