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A point is an undefined term. But given two points, they can be joined using a line segment.
All geometric figures.
Because of undefined slope, because undefined slope does not have a slope it doesn't have anything to substitute for m in the point slope equation.
They are undefined because they can't be described without using words that are themselves undefined. For example a point has no dimensions. It is a location, or position. But if you describe it that way you have to define location or position. You can't define backwards infinitely, so we accept the meanings of these things as intuitively clear without definitions because they are the building blocks of geometry and are needed to define much more complex terms.
We usually denote the slope of a line as M. Horizontal lines have a slope of zero. Mhorizontal line = 0 Verticle lines have a slope that is undefined. Note that the slope is not infinite, but is undefined. Mvertical line = undefined To write the equation of a horizontal or vertical line, we need to know if it's going to be a slope-intercept form or a point-slope form.