If `P(x , y)` is any point on the line joining the point `A(a ,0)a n dB(0, b),` then show that `x/a+y/b=1.`

Explanation

Given,

`P(x , y)` is any point on the line joining the point `A(a ,0)` and `B(0, b)`


If a point `P(x,y)` lies on a line joining the points `A(x_1​,y_1​)` and `B(x_2​,y_2​)`,then


`(y−y_1)/( x−x_1​)​​=(​y_2​−y_1)/(x_2​−x_1)​​`


Now,Point `P(x,y)` lies on the line joining the points `A(a,0)` and `B(0,b)`. So,
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