Question

Let p(x,y) be any point on the line joining the points A(9,0) B(0,6) show that x÷a+y÷b=1

Answer 1

Answer:

$\frac{x}{9} + \frac{y}{6} = 1.$

Step-by-step explanation:

$(y - 0) =( \frac{6 - 0}{0 - 9} )(x - 9) \\ \\ - 9(y) = 6(x - 9) \\ \\ - 3y = 2(x - 9) \\ \\ 2x - 18 = - 3y \\ \\ 2x + 3y = 18 \\ \\ hence \: \: \: \: \frac{x}{9} + \frac{y}{6} = 1.$