Question

find an equation of the vertical line through (-3, -1).
the equation is \boxed{}. (type your answer in standard form.)

Explanation:

Step1: Recall vertical line equation

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

Step2: Identify the x - coordinate

The point given is \((-3,-1)\). The x - coordinate of this point is \(-3\). So, the equation of the vertical line passing through \((-3,-1)\) is \( x=-3 \). In standard form (for a vertical line, the standard form is \( x + 0y=-3 \), but usually we write it as \( x=-3 \) as the standard form for a vertical line is simply \( x = a \)).

Answer:

\( x=-3 \)