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 )