Question

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

Explanation:

Step1: Recall slope types

A line with an undefined slope is vertical. Vertical lines have the equation \( x = a \), where \( a \) is the x - coordinate of any point on the line.

Step2: Identify the x - coordinate

The line passes through the point \( (6,-3) \). The x - coordinate of this point is 6. So, for a vertical line passing through this point, the equation is \( x = 6 \).

Answer:

\( x = 6 \)