We can calculate the slope of the line using the next formula
m=slope
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]where
(0,-6)=(x1,y1)
(1,-5)=(x2,y2)
we substitute the values on the equation
[tex]m=\frac{-5+6}{1-0}=\frac{1}{1}=1[/tex]the slope of the line is m=1
The equation of the line
[tex]y+6=1(x-0)[/tex]
We need to clear y in order to obtain the slope-intercept form
[tex]y=x-6[/tex]