A point `P` divides the line segment joining the points `A(3,-5)a n dB(-4,8)` such that `(A P)/(P B)=k/1dot` If `P` lies on the line `x+y=0,` then find the value of `kdot`

Explanation

Given, `A(3,-5) and B(-4,8)`


The ratio is `k:1` and `x1​=3,x2​=−4,y1​=−5,y2​=8`


Using the section formula

`((k(−4)+1(3))/(k+1)​,(k(8)+1(−5))/(k+1)​)`


`=((−4k+3)/(k+1)​,(8k−5)/(k+1)​)`

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