QuestionJuly 15, 2025

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 glven line in the traditional version of the point-slope form of a line. Type your answer in the box provided to submit your solution.

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 glven line in the traditional version of the point-slope form of a line. Type your answer in the box provided to submit your solution.
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 glven 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
4.3(159 votes)

Answer

It is not possible to write the equation in point-slope form because the slope is undefined for a vertical line. Explanation 1. Identify the slope The slope m is calculated using **m = \frac{y_2 - y_1}{x_2 - x_1}**. Here, both points have the same x-coordinate (x_1 = x_2 = -6), making the denominator zero. 2. Analyze the result A zero denominator indicates an undefined slope, meaning the line is vertical.

Explanation

1. Identify the slope<br /> The slope $m$ is calculated using **$m = \frac{y_2 - y_1}{x_2 - x_1}$**. Here, both points have the same $x$-coordinate ($x_1 = x_2 = -6$), making the denominator zero.<br />2. Analyze the result<br /> A zero denominator indicates an undefined slope, meaning the line is vertical.
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