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

Question

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

Smart Achievers · Accepted Answer

(1)

$Mid-point of the given line$ $= (\frac{0 + 8}{2}, \frac{- 4 + 0}{2}) = (4, - 2)$

Let $m$ be the slope of the line containing the points $(0, 0)$ and $(4, - 2)$ , then

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{- 2 - 0}{4 - 0} = \frac{- 2}{4} = \frac{- 1}{2}$

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