Answer:
[tex]y = \frac{4}{5}x + 1[/tex]
Explanation:
A line has a general equation of
[tex]y = mx + b[/tex]
where b is the y-intercept and slope of m.
Since [tex](0,1)[/tex] is the value of y when [tex]x = 0[/tex], it is the point of intersection of the line with the y-axis, hence the y-intercept is [tex]b=1[/tex].
We are given the slope is [tex]m = \frac{4}{5}[/tex]
So the equation of the line is
[tex]y = \frac{4}{5}x + 1[/tex]
