Question

Write an equation of a line with an undefined slope and passing through the point (-2,4).
Hint: To answer this question, consider the type of line that has an undefined slope. Then write an equation of that line using the values in the ordered pair.

Answer 1

(y - 4) = m (x + 2)

m is the undefined slope.

Answer 2

on the other hand, maybe the slope is in fact undefined, meaning the line is vertical.

In that case, the line is

x = -2

Answer 3

Steve has interpreted the problem differently, as if the line had infinite slope. I wrote an equation for all lines through the point, with an arbitrary slope m.

The problem statement is ambiguous in my opinion.