Question

The standard form of a linear equation is Ax plus By = C. If B = 0 and A and C are positive, which best describes the graph of this equation?

the graph is a vertical line
the graph a horizontal line
The graph is a line with a positive slope
The graph is a line with a negative slope

Answer 1

The answer is a straight vertical line.

Answer 2

The graph is a vertical line

Explanation:

The standard form of a linear equation is

`Ax+By=C`

In this case,
`B=0`, A and C are positive. So, the linear equation is

`Ax=C`

`x=(C)/(A)`

Where the fraction is positive.

Notice that the equation has the form
`x=k` where
`k` is a real number. This form represents a vertical line which passes through
`k`.

Therefore, the graph that best described
`x=(C)/(A)` is a vertical line, because it only has x-variable.