Which equation represents a line which is parallel to ?
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Ask by Frazier Parsons. in the United States

Mar 28,2025

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Which equation represents a line which is parallel to $$ x=0 $$ ? Answer $$ \begin{array}{ll}x=8 & x=\frac{1}{4} y \ y=5 & x=-3 y\end{array} $$

UpStudy AI · Accepted Answer

1. The line $$x=0$$ is a vertical line.  
2. Lines parallel to a vertical line must also be vertical; they have a constant $$x$$-value.  
3. Among the given options, the equation $$x=8$$ represents a vertical line, since $$x$$ is constant.  
4. The remaining equations do not represent vertical lines:  
   - $$x=\frac{1}{4}y$$ can be rewritten as $$y=4x$$, which is a non-vertical line.  
   - $$y=5$$ is a horizontal line.  
   - $$x=-3y$$ is not vertical unless $$y$$ is fixed.  
5. Therefore, the correct answer is $$x=8$$.
The equation $$x=8$$ represents a line parallel to $$x=0$$.

Which equation represents a line which is parallel to ?
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