If p (X, y) is any point on the line joining the point A(a,0)and B(0,b) then show that x/a+y/b=1

If p (X, y) is any point on the line joining the point A(a,0)and B(0,b

1.	If p (X, y) is any point on the line joining the point A(a,0)and B(0,b) then show that x/a+y/b=1
Answer» Using the slope form of the line,\xa0(y - 0)/(x - a) = (b - y)/(0 - x) ..........(Slope between P and A must be equal to the slope between B and P)y/(x - a) = (b - y)/-x(b - y)(x - a)/(-xy) = 1(bx - ab - xy + ay)/(-xy) = 11 + ab/(xy) - b/y - a/x = 1ab/(xy) = b/y + a/xab/(xy) = (bx + ay)/(xy)x/a + y/b = 1 Dont know