Question

In the general equation of a line, if A = 0, what will the graph of the line look like? It will be vertical. It will be horizontal. It will be equivalent to the graph of y = x. There is not enough information to tell.

Answer 1

it would look like By = C. or y =C/B which is horizontal

Answer 2

Option B.

Explanation:

The general equation of line is

`Ax+By+C=0`

where, A,B and C are real numbers.

If A=0, then

`A(0)+By+C=0`

`By+C=0`

`By=-C`

Divide both sides by B.

`y=-(C)/(B)`

Here, -C/B is a real number.

We know that y=a is a horizontal line, with y-intercept at (0,a).

So,
`y=-(C)/(B)` is a horizontal line, with y-intercept at (0,-C/B).

Therefore, the correct option is B.