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Graph the line

Ask by Burgess Kelley. in the United States
Mar 25,2025

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To graph the line , plot a horizontal line where every point has a y-coordinate of 8.

Solución

  1. Recognize that the equation is , which means that for every value of , the value of remains constant at 8.
  2. This is the equation of a horizontal line. Every point on this line has the form , where can be any real number.
  3. To graph the line:
    • Plot the point on the coordinate plane.
    • Choose another x-value (for example, ). The corresponding point is .
    • Plot as many points as necessary, ensuring that all of them have .
    • Draw a straight line through these points extending in both directions.
  4. The resulting graph is a horizontal line across the plane, intersecting the -axis at 8.

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Mind Expander

To graph the line , you’ll create a horizontal line where every point on that line has a y-coordinate of 8. This means you’ll plot points such as (0, 8), (1, 8), (-1, 8), and so forth, across the x-axis. The line will run parallel to the x-axis and will intersect the y-axis at the point (0, 8). It’s a simple and straightforward line, so get your ruler ready for that perfect straight edge!
If you want to find the equation of a line that is parallel or perpendicular to , remember that parallel lines will also be horizontal and have the same slope of 0, while a perpendicular line will be vertical with an undefined slope. For example, the equation of a perpendicular line could take the form , where is any real number. Keep those fun relationships in mind as you graph!

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