A (1,2) and B(3,4) are two fixed points , P(x,y) divides AB internally in the ratio 1 : m . Find the coordinates of P . If m is variable , deduce from the above the equation of the straight line joining A and B.
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Hence , we have , `(3-x)/(x-1)=(4-y)/(y-2)or4x-xy-4+y=3y-6-xy+2x` or , `2x-2y+2=0or,x-y+1=0`, which is the required equation of the straight line AB.
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