To determine which equation represents a line with an undefined slope, we need to recall the characteristics of slopes for different types of lines.
The slope of a line is defined as the change in divided by the change in (). A line has an undefined slope when the change in () between any two points on the line is . This occurs when the line is vertical.
Let's analyze each of the given equations:
A.Equation
The equation represents a vertical line. For every point on this line, the -coordinate is always , and the -coordinate can take any value. Since the change in between any two points on this line is , the slope is undefined.
B.Equation
This equation is in the slope-intercept form