When dealing with the equation of a line in the form of y = mx + b, the undefined slope typically refers to a vertical line. In this case, the slope m is considered undefined because the change in x is zero, making the slope calculation impossible.
To express a vertical line, we use the equation x = a, where a is the constant x-coordinate of all points on the line. This means that, for any value of y, x will always equal a.
For example, if you have a vertical line that passes through the point (3, 2), the equation representing this line would be:
x = 3
In this case, there is no corresponding value of m or b because vertical lines do not conform to the typical slope-intercept form. So in summary, for undefined slope, use the vertical line equation instead!