Question

write the equation of the vertical line through the point (1, - 9).
the equation of the line is - 9
(simplify your answer. type an equation using x and y as the variables.)

Explanation:

Step1: Recall vertical line equation

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

Step2: Determine the value of \( a \)

The line passes through the point \( (1,-9) \). The x - coordinate of this point is 1. So, for the vertical line passing through \( (1,-9) \), the equation is \( x = 1 \).

Answer:

\( x = 1 \)