Question

Using slope, prove that the point (a, 0) (0,h) and (x,y) Will align if

$\frac{x}{a} + \frac{y}{b} = 1$
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Answer 1

Step-by-step explanation:

let the point be A(a,0) ,B(0,b) and C(x,y)

then,

slope of AB= slope of BC

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

b/-a=(y-b)/x

bx= -ay+ab

bx+ay=ab

dividing both side by ab

x/a+y/b=1