First using the given two points we can find the slope (m) of the line
[tex]Slope = m = \frac{Rise}{Run} \\ \\
m= \frac{4-1}{3-0} \\ \\
m=1 [/tex]
Thus the slope of given line is 1.
Using slope and a point (0,1) we can write the equation in point slope form as
y - 1= 1(x-0)
y - 1 = x
The above equation is the point-slope form of the equation.