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.
(y - 4) = m (x + 2)
m is the undefined slope.
on the other hand, maybe the slope is in fact undefined, meaning the line is vertical.
In that case, the line is
x = -2
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.
To find the equation of a line with an undefined slope passing through the point (-2, 4), we know that the line must be vertical.
A vertical line means it goes straight up and down, and its slope is undefined because it has no change in the x-coordinate.
The equation of a vertical line passing through the point (-2, 4) can be written in the form "x = a," where 'a' is the x-coordinate of the point.
Thus, the equation of the line with an undefined slope passing through the point (-2, 4) is x = -2.