Find the slope of a line, which passes through the origin and mid-point of the segment joining the points P(0,-4) and B(8,0).

Explanation

To find the slope of the line that passes through the origin and the midpoint of the segment joining the points P(0, -4) and B(8, 0), we can follow these steps:

### Step 1: Find the midpoint of the segment joining points P and B.
The formula for the midpoint \( Q(x_m, y_m) \) of a segment joining two points \( P(x_1, y_1) \) and \( B(x_2, y_2) \) is given by:
\[ x_m = \frac{x_1 + x_2}{2}, \quad y_m = \frac{y_1 + y_2}{2} \]
Here, \( P(0, -4) \) and \( B(8, 0) \).
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