The given coordinates are (0,-2) and (-5,-3). The line equation is,
y = mx + b
Here, m is the slope and b is the y-intercept.
The slope can be calculated as,
[tex]m=\frac{y2-y1}{x2-x1}=\frac{-3+2}{-5}=\frac{1}{5}[/tex]Now to calculate b, let us take the point (0,-2) and 1/5 as m,
[tex]\begin{gathered} -2=0\times\frac{1}{5}+b \\ b=-2 \end{gathered}[/tex]Therefore the equation of the line is,
[tex]y=\frac{1}{5}x-2[/tex]