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Let ABC be a triangle such that the coor...

Let ABC be a triangle such that the coordinates of the vertex A are (3, 1). Equation of the median through B is `2x + y-3 = 0` and equation of the angular bisector of C is `7x-4y-1=0`. Find the slope of line BC.

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let the coordinates of point C be`(h,k)`
the equation is `7h-4k-1=0`
`:. k= (7h-1)/4`
``
the midpoint of AC must lie on the line `2x+y-3=0`
`2(-3+h)/2 + ((7h-1)/4 + 1)/2 = 3`
`-3+h + (7h+3)/8 = 3`
`-24+8h+7h+3=24`
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