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 Zimmerman Bowman. in the United States
Mar 12,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The standard form of the equation is \( x = -7 \).
Solution
A line with an undefined slope is a vertical line. The equation of a vertical line passing through a point \((a, b)\) is given by \(x = a\).
In this case, the line passes through the point \((-7, 3)\). Therefore, the equation of the line is:
\[
x = -7
\]
To express this in standard form, we can rewrite it as:
\[
1x + 0y = -7
\]
Thus, the standard form of the equation of the line passing through \((-7, 3)\) with an undefined slope is:
\[
\boxed{x + 0y = -7}
\]
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Simplify this solution Bonus Knowledge
A line with an undefined slope is vertical, which means it has the same x-coordinate for all points on the line. Since the line passes through the point \((-7, 3)\), the equation is simply \(x = -7\). To express this in standard form, we can rewrite it as \(1x + 0y = -7\). The standard form of the equation of the line passing through \((-7,3)\) with an undefined slope is given by \(1x + 0y = -7\).
