The slope of a line is given by 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 , which occurs for vertical lines.
Let's analyze each equation:
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
The equation represents a horizontal line. For every point on this line, the -coordinate is always , and the