Mathematics
A(7, -1), B(4, 1) and C(-3, 4) are the vertices of a triangle ABC. Find the equation of a line through the vertex B and the point P in AC; such that AP : CP = 2 : 3.
Straight Line Eq
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Answer
By section formula,
Co-ordinates of P =
Substituting values we get,
Slope of BP =
By point-slope form,
Equation of BP,
⇒ y - y1 = m(x - x1)
⇒ y - 1 = 0(x - 3)
⇒ y - 1 = 0
⇒ y = 1.
Hence, equation of BP is y = 1.
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