Question

A line is written in standard form Ax + By = 0, where A and B are not

both zero. Find the coordinates of the point that must lie on this line, no
matter what the choice of A and B.

Answer 1

A point that must lie on this line is the origin (0,0)

Explanation:

we know that

The equation of the line in standard form is equal to

`Ax+By=C`

where

A is a positive integer

B and C are integer

In this problem

C=0

so

`Ax+By=0`

That means, that the line represent a proportional relationship between the variables x and y

Remember that in a proportional relationship the line passes through the origin

therefore

A point that must lie on this line is the origin (0,0)