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# 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).

Q: 5         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  $B(8,0)$.

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Mid-point of the line joining  the points $P(0,-4)$ and  $B(8,0)$. is
$l = \left ( \frac{8}{2},\frac{-4}{2} \right ) = (4,-2)$
It is given that line also passes through origin which means passes through the point (0, 0)
Now, we have two points on the line so we can now find the slope of a line by using formula
$m = \frac{y_2-y_1}{x_2-x_1}$
$m = \frac{-2-0}{4-0} = \frac{-2}{4}= \frac{-1}{2}$
Therefore, the slope of the line is  $\frac{-1}{2}$

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