The coordinates of the mid-point of the line segment joining the points
P (0, –4) and B (8, 0) are
It is known that the slope (m) of a non-vertical line passing through the points (x1, y1) and (x2, y2) is given by \\(m=\\frac{y_{2}-y_{1}}{x_{2}-x_{1}}, x_{2} \
eq x_{1}\\).
Therefore, the slope of the line passing through (0, 0) and (4, –2) is
\\(\\frac{-2-0}{4-0}=\\frac{-2}{4}=-\\frac{1}{2}\\).
Hence, the required slope of the line is \\(-\\frac{1}{2}\\).