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ICSE Class X Math 2015 Paper

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In the given figure ABCA B C is a triangle and BCB C is parallel to the yy-axis. ABA B and ACA C intersects the yy-axis at PP and QQ respectively.
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Question : 27 of 52
Marks: +1, -0
Find the equation of the line AC.
Solution:  
Equation of AC,
Coordinates of A(4,0)A(4,0) and C(−2,−4)C(-2,-4)
y−0  =0+44+2(x−4)y-0\;=\frac{0+4}{4+2}(x-4)
3y  =2x−83 y\;=2 x-8
2x−3y−8  =02 x-3 y-8\;=0
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