how do you find the perpendicular lines if on the graph are undefied and 0 slopes?

To determine the perpendicular lines to undefined and zero slope lines on a graph, you need to understand the concept of perpendicularity between lines.

A line with an undefined slope is a vertical line. The slope of a vertical line is not defined because it doesn't have a change in the y-coordinate for any change in the x-coordinate. Thus, the slope of a vertical line is considered infinite.

A line with a zero slope is a horizontal line. The slope of a horizontal line is zero because it doesn't have a change in the y-coordinate for any change in the x-coordinate.

To find the perpendicular lines to these special lines, there are a few rules to follow:

1. When two lines are perpendicular, the product of their slopes is always -1. So, if one line has a slope of m, the perpendicular line will have a slope of -1/m.

2. For a vertical line (undefined slope), any perpendicular line will have a slope of 0.

3. For a horizontal line (zero slope), any perpendicular line will have an undefined slope.

Applying these rules, here's how you can find perpendicular lines to the undefined and zero slope lines:

1. For a vertical line with an undefined slope, the perpendicular line will be a horizontal line with a slope of 0. This means it will have the form y = c, where 'c' is a constant.

2. For a horizontal line with a slope of zero, the perpendicular line will be a vertical line with an undefined slope. This means it will have the form x = c, where 'c' is a constant.

Remember, when working with graphs, it's crucial to consider the context and the specific equations or lines involved.