Vite an equation for the line described. Write the equation in the form specified. \( \begin{array}{llll}\text { 11) parallel to } x=6 \text {, through }(7,2) \\ \begin{array}{llll}\text { A) } x=2 & \text { B) } y=6 & \text { C) } y=2 & \text { D) } x=7\end{array}\end{array} \).
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The equation for a vertical line that's parallel to \(x=6\) will also be a vertical line with a specific \(x\)-value. Since the line must go through the point (7, 2), the equation of the line is \(x=7\). So, the correct option is D) \(x=7\). Now, did you know that vertical lines are unique in that they don’t have a slope? Instead, they're thought to have an "undefined" slope since they go straight up and down! This can be quite the mind-bender when you first learn it, but the parallelism helps keep things consistent. Also, this concept of parallel lines isn't just for math! It crops up everywhere, from architecture (think skyscrapers!) to art (parallel brushstrokes can create beautiful patterns). Just as lines remain consistent in their direction, so does the concept of staying true in your pursuits!