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 points are (50,25) and (200,100), then the slope is:
[tex]m=\frac{100-25}{200-50}=\frac{75}{150}=\frac{1}{2}[/tex]