Question

A line passes through the point (-6, 6) and (-6, 2). In two or more complete sentences, explain why it is not possible to write the equation of the given line in the traditional version of the point-slope form of a line

Answer 1

Try writing it in point-slope form and you will see why you have a problem.

slope m is equal to (y2-y1)/(x2-x1):

m = (y2-y1)/(x2-x1) = (2-6)/(-6 - -6) = -4/0

The denominator has a zero, so it is undefined.

Since the point-slope form requires "m" to be defined, you can't write the equation of the line using point-slope form.