Question

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

Answer 1

The coordinate of the mid-point of the line joining segment joining the points $P(0,-4)$ and $B(8,0)$ is $(\frac{0+8}{2},\frac{-4+0}{2})=(4,-2)$
Thus slope of 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 line is $-\frac{1}{2}$