Question

what is the equation of the line that passes through the point (6, -3) and has an undefined slope? answer attempt 1 out of 2

Explanation:

Step1: Recall undefined slope lines

Lines with undefined slope are vertical lines. The equation of a vertical line is \( x = a \), where \( a \) is the x - coordinate of any point on the line.

Step2: Determine the value of \( a \)

The line passes through the point \( (6, - 3) \). For a vertical line, the x - coordinate is constant. So, the x - coordinate of the point \( (6, - 3) \) is 6. Thus, the equation of the line is \( x = 6 \).

Answer:

\( x = 6 \)