Algebra-1

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

The slope of a line is calculated as the ratio of the change in  (rise) to the change in  (run), . A line has an undefined slope when the change in  () between any two points on the line is . This situation occurs for vertical lines.

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. For the equation , the slope , so this line does not have an undefined slope.

B.Equation

The equation  represents a horizontal line where a...