Question

question
what is the equation of the line that passes through the point (3, -4) and has an undefined slope?
answer attempt 1 out of 2
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Explanation:

Step1: Recall undefined slope lines

A line with an undefined slope is a vertical line. The equation of a vertical line is of the form \(x = a\), where \(a\) is the x - coordinate of any point on the line.

Step2: Determine the equation

The line passes through the point \((3,-4)\). For a vertical line, the x - coordinate of all points on the line is constant. The x - coordinate of the point \((3,-4)\) is 3. So the equation of the line is \(x = 3\).

Answer:

\(x = 3\)