Pregunta
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Graph the following linear equation \( x=11 \)

Ask by Vega George. in the United States
Mar 01,2025

Solución de inteligencia artificial de Upstudy

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The graph of \( x = 11 \) is a vertical line that crosses the x-axis at 11 and extends infinitely in both directions.

Solución

The equation x = 11 represents a vertical line in the coordinate plane. Here’s what that means and how to graph it: 1. Since the equation specifies x = 11 for all points, every point on this line must have an x-coordinate of 11, while the y-coordinate can be any real number. 2. To graph it, start by marking the point (11, 0) on the x-axis. This is where the line crosses the x-axis. 3. Then, draw a straight vertical line through (11, 0) that extends infinitely in both the upward and downward directions. This line will contain every point (11, y), where y is any value. The final graph is a vertical line crossing the x-axis at 11.

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Bonus Knowledge

To graph the equation \( x=11 \), you’ll be drawing a vertical line. This line will be parallel to the y-axis and will intersect the x-axis at the point (11, 0). Every point on this line has an x-coordinate of 11, meaning no matter what y-value you choose, as long as x is 11, you’ll be on the line. It's a direct and simple representation of how x remains constant while y varies! Now, let’s say you wanted to visualize this in real life! Imagine standing right at the street corner where the street numbered 11 is located. Every time you move up or down the streets (the y-axis), you're still right there on that street! So, whether you're at 11th & 1st or 11th & 22nd, you’re always along that same line. How cool is that?

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