Question

select the correct answer.

which equation represents the vertical line passing through \\((1,-9)\\)?

\\(x = -9\\)
\\(x = 1\\)
\\(y = -9\\)
\\(y = 1\\)

Explanation:

Identify the properties of a vertical line

A vertical line has an undefined slope and is represented by an equation of the form \(x = a\), where \(a\) is the constant \(x\)-coordinate of any point on the line.

Determine the constant value from the given point

The line passes through the point \((1, -9)\). The \(x\)-coordinate of this point is \(1\).

Write the final equation

Substituting \(a = 1\) into the general vertical line equation \(x = a\) yields:

$$ x = 1 $$

Answer:

• (A) \(x = -9\)
• (B) \(x = 1\) (Correct answer)
• (C) \(y = -9\)
• (D) \(y = 1\)