Q5 of 23 Page 1

Solve Question:

Write down the equation of a line whose slope is 3/2 and which passes through point P, where P divides the line segment AB joining A (-2, 6) and (3, -4) in the ratio 2:3.

Let P (x, y) be the point that divides the line segment in the ratio 2:3


A (-2, 6) ≡ (x1, y1)


B (3, -4) ≡ (x2, y2)


2:3 ≡ m:n


p (x, y) =


= ,


= (0,2)


Now we are given with slope 3/2 to find the equation.


Equation = (y-y1) = m(x-x1)


y-2 = (x-0)


3x-2y + 4 = 0


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