Question

IfP (x, y) is any point on the line joining the points A (a, 0) and B (0, b), then show thatx/a+y/b=1​

Answer 1

Equation of any line joining these points is

$(y - 0) =( b - 0 \div 0 - a)(x - a)$

$y = - (b \div a)(x - a)$

$ay = - bx + ab$

$ay + bx = ab$

Dividing by ab.

$y \div b + x \div a = 1$