Question

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

Answer 1

Answer:

a point (x,y) lies on a line joining the points A and point B the equation is

y-y1/x-x1 = y2-y1/x2-x1

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

y-0/x-a = b-0/0-a

y/x-a = -b/a

⇒ ay=−b(x−a)

⇒ ay=−bx+ab

⇒ ay+bx=ab

Divide both sides by ab

ay/ab +bx/ab = ab

y/b + x/a = 1

Step-by-step explanation:

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