Question

IF B(X,Y) IS A POINT ON THE LINE SEGMENT JOINING THE POINTS A(a,b) AND C(b,a) then prove that
X+Y=a+b

Answer 1

Answer:

Slope of Line Joining the Points A(a,b) and C(b,a)

Slope = (b - a)/(a - b)

Slope = -1

and Now That Line Satisfies The Point A, C  and B

So, Equation of Line

Y - b = -1( X - a )

X + Y = b + a