Question
Write an equation in standard form of the line passing through \( (-7,3) \) with an undefined slope. The standard form of the equation of the line passing through \( (-7,3) \) with an undefined slope is given by \( \square \). (Simplify your answer.)
Ask by John Kelley. in the United States
Mar 12,2025
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Answer
The standard form of the equation is \( x = -7 \).
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The Deep Dive
Since the line has an undefined slope, it is a vertical line. A vertical line passing through the point \((-7, 3)\) will have the equation \(x = -7\). To express this in standard form, we can rearrange it as: \[ 1x + 0y = -7. \] Thus, the standard form of the equation of the line is \( \boxed{x + 0y = -7} \).