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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).
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Solution
Mid point of the line segment joining the points P(0, –4) and B(8, 0)
`"x" = ("x"_1 + "x"_2)/2`
= `(0 + 8)/2`
= 4
y = `("y"_1 + "y"_2)/2`
= `(-4 + 0)/2`
= `(-4)/2`
= −2
= The midpoint of PB has coordinates (4, −2) of M.
The coordinates of the origin point 0 are (0, 0).
∴ OM = `("y"_2 - "y"_1)/("x"_2 - "x"_1)`
= `(-2 -0)/(4 - 0)`
= `(-2)/4`
= `(-1)/2`
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