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. Type your answer in the box provided to submit your solution.
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. Type your answer in the box provided to submit your solution.
Solution
The traditional point-slope form of a line is y - y1 = m(x - x1), where m is the slope of the line. The slope of a line is calculated as the change in y divided by the change in x. In this case, the x-coordinates of both points are the same (-6), which means the change in x is zero. Since division by zero is undefined in mathematics, it is not possible to calculate the slope of the line, and therefore, it is not possible to write the equation of the line in the traditional point-slope form. This line is a vertical line, and its equation can be written in the form x = -6.
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