The slope of the line that passes through the points (x1, y1) and (x2,y2) is computed as follows:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]In this case, the line passes through the points (0, -1) and (-2,-4), then its slope is:
[tex]m=\frac{-4-(-1)}{-2-0}=\frac{-3}{-2}=\frac{3}{2}[/tex]