Mathematics
Write down the equation of the line whose gradient is and which passes through point P, where P divides the line segment joining A(4, -8) and B(12, 0) in the ratio 3 : 1.
Straight Line Eq
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Answer
By section formula,
Co-ordinates of P =
Substituting values we get,
By point-slope form,
Equation of line having slope = and passing through P,
⇒ y - y1 = m(x - x1)
⇒ y - (-2) = [x - 10]
⇒ 5(y + 2) = -2(x - 10)
⇒ 5y + 10 = -2x + 20
⇒ 5y + 2x = 20 - 10
⇒ 2x + 5y = 10.
Hence, 2x + 5y = 10.
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