Question

Let P(x, y) be any point on the line joining the points A(a,0) and B(0, b). Show that x/a + y/b =1.

Answer 1

Answer:

Using the slope form of line

(y_0)/(x_a)=(b_y)/(0_r) (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)=1

1+ab/(xy)_b/y_a/x=1

ab/(xy)=b/y+a/x

ab/(xy)=(br+ay)/(xy)

x/a+y/b=1

Step-by-step explanation: