Algebra-1

To determine which equation represents a line with an undefined slope, we need to consider the nature of slopes for different types of lines.

The slope of a line is given by the change in  divided by the change in , that is . A line has an undefined slope when the change in  () between any two points on the line is . This happens 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 , which means 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

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