The slope of a line is calculated as the change in divided by the change in (). A line has an undefined slope when the denominator of the slope formula () is equal to . This occurs when the line is vertical.
Let's analyze each of the given equations:
A.Equation
This equation is in the slope-intercept form , where is the slope and is the -intercept. Here, the slope , so this line does not have an undefined slope.
B.Equation
The equation represents a vertical line. For every point on this line, the -coordinate is always , while the -coordinate can take any value. Since for a vertical line, the change in