Find the slope of a line,which passes through | vedclass

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(B) The coordinates of the mid-point of the line segment joining the points $P(0, -4)$ and $B(8, 0)$ are calculated as: $\left(\frac{0+8}{2}, \frac{-4

Vedclass · Accepted Answer

$-1/2$

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(B) The coordinates of the mid-point of the line segment joining the points $P(0, -4)$ and $B(8, 0)$ are calculated as: $\left(\frac{0+8}{2}, \frac{-4+0}{2}\right) = (4, -2)$. The slope $(m)$ of a line passing through two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by the formula: $m = \frac{y_2 - y_1}{x_2 - x_1}$. The line passes through the origin $(0, 0)$ and the mid-point $(4, -2)$. Substituting these values into the slope formula: $m = \frac{-2 - 0}{4 - 0} = \frac{-2}{4} = -\frac{1}{2}$. Thus,the slope of the line is $-\frac{1}{2}$.

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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